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Seventeen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? 8 O h(x; 6, 17 O nb(x; 6, 8, 17) 8 O b(x; 6, 17 h(x; 6, 8, 17) 8 nb(x; 6, 17 O b(x; 6, 8, 17) (b) Compute P(X = 2), P(X S 2), and P(X 2 2). (Round your answers to four decimal places.) P(X = 2) = 0.2851 P(X S 2) = 0.03324 P(X 2 2) = 0.9118 %3D (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) x individuals 2.324 mean standard deviation 1.014 individuals

Seventeen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? 8 O h(x; 6, 17 O nb(x; 6, 8, 17) 8 O b(x; 6, 17 h(x; 6, 8, 17) 8 nb(x; 6, 17 O b(x; 6, 8, 17) (b) Compute P(X = 2), P(X S 2), and P(X 2 2). (Round your answers to four decimal places.) P(X = 2) = 0.2851 P(X S 2) = 0.03324 P(X 2 2) = 0.9118 %3D (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) x individuals 2.324 mean standard deviation 1.014 individuals

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Seventeen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? 8 O h(x; 6, 17 O nb(x; 6, 8, 17) 8 b(x; 6, 17 h(x; 6, 8, 17) 8 nb(x; 6, 17 О Бx; 6, 8, 17) (b) Compute P(X = 2), P(X S 2), and P(X 2 2). (Round your answers to four decimal places.) P(X = 2) = 0.2851 P(X S 2) = 0.03324 P(X 2 2) = 0.9118 (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) 2.324 1.014 X individuals mean standard deviation individuals
Transcribed Image Text:Seventeen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? 8 O h(x; 6, 17 O nb(x; 6, 8, 17) 8 b(x; 6, 17 h(x; 6, 8, 17) 8 nb(x; 6, 17 О Бx; 6, 8, 17) (b) Compute P(X = 2), P(X S 2), and P(X 2 2). (Round your answers to four decimal places.) P(X = 2) = 0.2851 P(X S 2) = 0.03324 P(X 2 2) = 0.9118 (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) 2.324 1.014 X individuals mean standard deviation individuals
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