Sixteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, nine 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)? О Бx; 6, 9, 16) 6. O h(x; 6, 16 O h(x; 6, 9, 16) O nb(x; 6, 9, 16) O b(x; 6, 16 nb(x; 6, 16 (b) Compute P(X = 4), P(X S 4), and P(X 2 4). (Round your answers to four decimal places.) P(X = 4) = P(X S 4) = P(X 2 4) = (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) mean individuals standard deviation individuals
Sixteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, nine 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)? О Бx; 6, 9, 16) 6. O h(x; 6, 16 O h(x; 6, 9, 16) O nb(x; 6, 9, 16) O b(x; 6, 16 nb(x; 6, 16 (b) Compute P(X = 4), P(X S 4), and P(X 2 4). (Round your answers to four decimal places.) P(X = 4) = P(X S 4) = P(X 2 4) = (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) mean individuals standard deviation individuals
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:Sixteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, nine 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)?
О Бx; 6, 9, 16)
9
O h(x; 6,
16
О nix; 6, 9, 16)
O nb(x; 6, 9, 16)
9
O b(x; 6, )
9
nb(x; 6,
16
(b) Compute P(X = 4), P(X S 4), and P(X 2 4). (Round your answers to four decimal places.)
P(X = 4) =
P(X S 4)
P(X 2 4)
(c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.)
individuals
mean
standard deviation
individuals
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