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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

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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)? O h(x; 6, 76) O b(x; 6, 9, 16) O b(x; 6, - 16 O h(x; 6, 9, 16) O nb(x; 6, - 9 16 O nb(x; 6, 9, 16) (b) Compute P(X = 4), P(X = 4), and P(X 2 4). (Round your answers to four decimal places.) P(X = 4) = P ( X = 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

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