Use the distribution to find the probability of getting more than 2 correct when making random guesses on a 4 question multiple choice exam. P(x) |0 0.198 |1 0.395 2 0.296 3 0.099 0.012 0.012 None of these 0.296 0.111 0.099
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- Use the distribution to find the probability of getting less than 3 correct when making random guesses on a 4 question multiple choice exam. P(x) 0.198 1 0.395 0.296 3 0.099 4 0.012 0.593 0.889 None of these 0.111 0.296A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. (b) What are the mean ? and variance ?2 of this distribution? (Round your mean to one decimal place and your variance to two decimal places.)Student answers choosing randomly YES or NO. To pass the exam he must answer correctly for at least 2/3 of all questions. What is his chance if there are: (a) 6 , (b) 9 , (c) 12 questions in the test?[Ans.0, 3437; 0, 2519; 0, 1909 ]
- Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results. (Round to four decimal places as needed.) OA. P(6≤x≤8)=P(6) + P(7) + P(8) = O B. P(536% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive. (a) P(2)= |0.164 (Round to the nearest thousandth as needed.) (b) P(x> 2)= |0.759 (Round to the nearest thousandth as needed.) %3D (c) P(2A maze has 25 possible paths. Let x represents the number of paths a subject tries in order to traverse the maze. Find the man and the standard deviation of the probability using Excel.Find the mean of the given probability distribution. 16) In a certain town, 70% of adults have a college degree. The accompanying table describes th 16) probability distribution for the number of adults (among 4 randomly selected adults) who h college degree. P(x) X 0 0.0081 1 0.0756 2 0.2646 3 0.4116 4 0.2401A computer selects a number X from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U(| b. Suppose that the computer randomly picks 39 such numbers. What is the distribution of a for this selection of numbers. a - N( c. What is the probability that the average of 39 numbers will be less than 6.6?J 2Use the distribution to find the probability of getting less than 2 correct when making random guesses on a 4 question multiple choice exam. P(x) 0.198 1 0.395 0.296 3 0.099 0.012 0.198 0.549 0.552 None of these 0.593A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. The probability distribution for the number of free throws she makes in two attempts is summarized in the following table: Number of free throws made Probability P(X 1) P(X ≤1) 0 O P(X ≥ 1) 0.09 1 The probability statement representing that she makes at least one free throw is expressed as 0.42 2 0.49Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman