Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. The area of lots in an exclusive subdivision 4. (Make a reasonable estimate based on experience, where necessary.). Find the probability that it lands heads up at most five times. Find the value th \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and without replacement from a box that contains \(25\) white marbles and \(15\) black marbles. 92 discrete. Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). 80 91 A traveling salesman makes a sale on \(65\%\) of his calls on regular customers. Find the chance that he guesses correctly between four and seven times. Lunch choice Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} The difference between them can be best understood using examples. Seven thousand lottery tickets are sold for \(\$5\) each. It is rejecting the standard. Classify the following random variables as discrete or continuous. If either one of the units is defective the shipment is rejected. Answer in as fast as 15 minutes. Based on projected audience sizes and weather conditions, the probability distribution for the revenue \(X\) per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. Mean=14.7, Standard deviations=0.9, Q:Assume the resting heart rates for a sample of individuals are normally distributed with a mean of, A:LetX be the heart rates for a sample of individuals. normal distribution Mean change what pairs of lines are parallel? Let \(X\) denote the number of boys in a randomly selected three-child family. y t * is a latent continuous variable, . Legal. (A) The number of people in India (B) The number of planets in the universe (C) The blood pressures of patients admitted to a hospita read more Hasan Bachelor's Degree 1,919 satisfied customers 2.Classify the following as discrete or continuous random variables A. The number of patient's arrivals per hour at a medical clinic 5. State the null and alternative hypotheses (in g/cm2). So, it is a discrete variable. M: the amount of milk produced yearly by a particular cow. Compute the probability indicated. patients if she wants to, A:no. The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). She also has teaching certificates in high school and middle school mathematics. 0.77 We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given Draw as many straight lines passing through both points A and B. You can specify conditions of storing and accessing cookies in your browser. no: the sum of the probabilities exceeds \(1\), no: the sum of the probabilities is less than \(1\), \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. *Response times may vary by subject and question complexity. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.5\). Circle the correct answer. The number of games in the next World Series (best of up to seven games). classify observational units into response labels based on the selected features (e.g., [16]). Pretest Find the confidence interval of, A:Given what pairs of lines are parallel? The average amount spent on electricity each July by a randomly selected household in a certain state. A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. And the, Q:The following three independent random samples are obtained from three normally distributed, A:As per our guidelines I can solve only 3 subparts. Instead of testing all \(600\) blood samples to find the expected \(12\) diseased individuals, investigators group the samples into \(60\) groups of \(10\) each, mix a little of the blood from each of the \(10\) samples in each group, and test each of the \(60\) mixtures. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. Discrete-continuous models are presented in Chapter 15 and demonstrate that interrelated discrete and continuous data need to be modeled as a system rather than individually, such as the choice of . P: the number of textbook authors now sitting at a computer. A continuous variable is a variable whose value is obtained by measuring. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. answered A. Classify the following random variables as discrete or continuous. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. =5%=1.2%. 98 A:2. Find the average number of appeals in such mailings that are made to students who already give blood. Such a person wishes to buy a \(\$150,000\) one-year term life insurance policy. Step 1: Identify the variable in the problem. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. 2. Circle the correct answer. Recalculate according to your conditions! Find the probability that the proofreader will miss at least one of them. the following simple, A:Consider the three doors in the following order: Variable N consists of number of eggs laid which can be counted. The air pressure of a tire on an automobile. A roulette wheel has \(38\) slots. A. The number of boys in a randomly selected three-child family. Your question is solved by a Subject Matter Expert. m(HNO3) = 12,6 Discrete Variable: A random variable whose amount is finite and countable. 93 Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. This site is using cookies under cookie policy . Example Discrete Variables: Will the owner have the cover installed? For this study, we should use [Select an answer = 0.05, Q:Problem 2. answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. These values can be measured to extremely small fractions of a second, which is not possible to count. The time needed to finish the test 4. 1. . Compute the probability indicated. Classify the following random variables as discrete or continuous. no. Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). Circle the correct answer. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). \(X\) is a binomial random variable with the parameters shown. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. menu The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. Step 2: Determine if the values of the random variable can be obtained by. It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. 0.34 time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that Goneril buys ten skeins to crochet an afghan. 1 Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. Find the probability of rolling doubles all three times. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. Classify the following random variables as discrete or continuous. Q: the weight of grain produced per acre. The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful If a carrier is boarded with four other dogs, what is the probability that at least one of the four healthy dogs will develop kennel cough? An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). \(X\) is a binomial random variable with parameters \(n=12\) and \(p=0.82\). Find the probability that the first person he encounters will be able to speak English. End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. Answer in as fast as 15 minutes. Determine whether or not the table is a valid probability distribution of a discrete random variable. A multiple choice exam has \(20\) questions; there are four choices for each question. As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than \(1.00\) because of round-off error. O discrete. Q:(a) Perform Ask your question. The number of injuries occurring to children at a school. Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. The number \(X\) of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. Your friend Caroline helped you with the null, A:Given that, The probability that he will, Q:Calculate r, the correlation coefficient ________________ Use the answer to (a) to compute the projected total revenue per \(90\)-night season if the cover is not installed. 1. A:Given that Consider What is the probability that \(14\) or more people in such a sample would recognize its brand name if the actual proportion \(p\) of all adults who recognize the brand name were only \(0.50\)? 0.04 3.99 (Supposing that indeed \(11\) of the \(60\) mixtures test positive, then we know that none of the \(490\) persons whose blood was in the remaining \(49\) samples that tested negative has the disease. Let \(X\) denote the net gain to the bettor on one play of the game. 1. The weight can take on decimal values such as 58.75 kg. -0.37 Determine the value \(C\) must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). If the experiment of dropping the tack \(15\) times is done repeatedly, what is the average number of times it lands with its point in the air? Find the probability that it lands heads up more times than it lands tails up. Two fair dice are rolled at once. All other trademarks and copyrights are the property of their respective owners. What is the average number of customers who are waiting in line the moment Shylock enters? Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. the amount of water you drink everyday 5. the number of students in a school So, it is a continuous variable. the number of building permits issued each month in a certain city. Find the probability that such a shipment will be accepted. Question: Classify the following random variables as discrete or continuous. , How many lines can you form? Determine the . A manufacturer receives a certain component from a supplier in shipments of \(100\) units. 2 3. the number of defective computers produced by a manufacturer. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. Let our experts help you. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . Classify the following random variables as discrete or continuous. 0.1 \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. x If the ball does not land on an even numbered slot, he loses his dollar. A discrete variable is one whose value can be determined by counting. Classify the following attributes as binary, discrete, or continuous. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Find the probability that the next litter will produce five to seven live pups. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. Correct to give accuracy, the amount of water measured in liters. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Random Variables and Probability Distribution - Random Variables and Probability Distribution - Studocu Goodluck for your assignments random variables and probability distribution objectives: at the end of the session the learner: illustrates random variable ( Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an ExpertNew The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. Find the probability that at least one of them will be able to speak English. The weight of the professional wrestler. 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee ff- if its set of possible outcomes is countable. 1.9 95% CI : 2010, 31, 2225-2236. Thus, it is a continuous variable. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Y : the length of time to play 18 holes of golf. The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. . 1. A:Please find the explanation for question b below. For example, if your variable is "Temperature in Arizona," how long would it take you to write every possible temperature? High School GPA Classify the following random variables as discrete or continuous. Find the probability that Borachio will produce more than three blemished tires tomorrow. average (x)=995 A coin is bent so that the probability that it lands heads up is \(2/3\). Assume the bills are normally distributed with standard deviation $ 17.15 . Find the probability that the next litter will produce at least six live pups. Control group (A tree diagram is helpful). 86 Geographic Interactions in Culture & the Environment, Geographic Diversity in Landscapes & Societies, Tools & Methodologies of Geographic Study, PLACE Mathematics: Solving Trigonometric Equations, Fundamental Values & Principles of Civil Society, ORELA Math: Discrete Probability Distributions, FTCE: Analyzing Data and Drawing Conclusions, Quiz & Worksheet - Complement Clause vs. The number of students who actually register for classes at a university next semester. The weight of newborns each year in a hospital 5. .. Blanca weighs x pounds. Discrete Continuous Continuous Continuous P: the number of building permits . Classify the following random variable. Round to two decimal places (for example: 42.81). 5. The distance a rental car rented on a daily rate is driven each day. B. She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. 5 2.) About \(2\%\) of alumni give money upon receiving a solicitation from the college or university from which they graduated. The number of leaves on a tree is a countable set. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. 46. O True. What Is Plantar Fasciitis? TRUE OR FALSE? Y : the length of time to play 18 holes of golf. An, A:For the given scenario, the null and alternative hypotheses are given as below: 4. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. Number of houses, Q:se the sample data to construct a scatterplot. (Enter != for as. 4 The amount that households pay service providers for access to the, A:For the distribution of internet service fees (which is stated to be not normal), it is given that:, Q:Automobile manufacturers are interested in the difference in reaction times for drivers reacting to, A:Given data is The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) Hamburger It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. An insurance company will sell a \(\$10,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$368\). Classify each random variable as either discrete or continuous. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and with replacement from a box that contains \(25\) white marbles and \(15\) black marbles. All rights reserved. Student Mac n cheese N: the number of eggs laid each month by a hen. d.N: the number of eggs laid each month by a hen. The probability of rolling doubles in a single roll of a pair of fair dice is \(1/6\). M: the amount of milk produced yearly by a particular cow. What number of customers waiting in line does Shylock most often see the moment he enters? 2.02 Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). Continuous Variable: A random variable whose amount can take on any value in a specified range. A professional proofreader has a \(98\%\) chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. (Round your answer to three, A:Given Information: 62 Mx (1) = (0.21+0.79e). C.i=95% In easier definition, discrete random. Identify the set of possible values for each random variable. Variable M consists of amount of milk produced which can't be counted but can be measured. Let our experts help you. Sandwich Classify the following random variables as discrete or continuous: X : the time it takes for a light bulb to burn out. continuous. It is not possible to finish counting the time lengths of all movies. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. Discrete 3) Time taken to prepare a drink. the pressure of water coming out of a fire hose. Quantitative Random Variables . Write an equation about the sum of their weights. Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. M: the time required to download a file from the Internet. Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. Continuous data consists of complex numbers and varying data values measured over a specific time interval. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &13 &18 &20 &24 &27 \\ \hline P(x) &0.22 &0.25 &0.20 &0.17 &0.16 \\ \end{array}\]Compute each of the following quantities. at separates the lower 40 % of the bills from the rest. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. A blood sample is taken from each of the individuals. Abstract. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. Ask your question. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Discrete Get access to thousands of practice questions and explanations! and \(6:00\; p.m\). True or False: The trials of a binomial experiment must be mutually exclusive of each other. P: the number of building permitsissued each month in a certain city. The number of boys in a randomly selected three-child family. Sample size (n) = Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution He makes four sales calls each day. Discrete 3) Time taken to prepare a drink. Pizza Tuleau-Malot, C. Variable selection using random forests. Q:A watch manufacturer claims that their watches on average will neither gain nor lose Do not write any units. Thus, this variable can be measured to any fraction of a second. Continuous Random Variable are random variables that take an. The number of accidents per year at an intersection. The random variable is then continuous. Grapefruit are sold by the dozen. 3) Time taken to prepare a drink. The amount of rain recorded at an airport one day. Construct the probability distribution of \(X\). 1. When dropped on a hard surface a thumbtack lands with its sharp point touching the surface with probability \(2/3\); it lands with its sharp point directed up into the air with probability \(1/3\). 1) Number of customers served by a coffee shop per hour. C. 0.19 The number of vehicles owned by a randomly selected household. Classify the following random variables as discrete or continuous. The weight of the professional wrestlers 6. Y: the length of time to play 18 holes of golf. Be on top of it. the number of eggs laid each month by a hen. Total no. Discrete 2 13. Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. Are movie time lengths discrete or continuous variables? 65 No. The duration of the next outgoing telephone call from a business office. (For fair dice this number is \(7\)). 2.17 The mean \(\mu\) of \(X\). Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. b. Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? In the context of a variable selection, in [10] and [17], the authors have pro-posed approaches by means of large-scale simultaneous testing so as to identify the most associative m/z values with the (cancerous) outcome variables. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. m(Cu(NO3)2) = ? variable is a set of possible outcomes that is countable. 72 1. Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. Question 2. Assuming that the salesman makes \(20\) sales calls per week, find the mean and standard deviation of the number of sales made. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. Find the expected value to the company of a single policy if a person in this risk group has a \(97.25\%\) chance of surviving one year.