Suppose a marketing professor randomly selects 3 new teaching assistants from a

Question

Suppose a marketing professor randomly selects 3 new teaching assistants from a total of 13 applicants - 8 male and 5 female applicants. Let X be the number of females who are hired. Answer all questions to 3 decimal places. What is the probability that number of female applicants hired is 3? 0.035 You are correct. Your receipt no. is 158-2442 Previous Tries What is the expected number of females hired? 0.175 Submit AnswerIncorrect. Tries 3/5 Previous Tries What is the standard deviation of number of females hired? Submit Answer Tries 0/5

Explanation / Answer

This is hypergeometric distribution with

N = 13

k = 5

n = 3

A) expected value = n * k /N = 3 * 5 / 13 = 1.154

B) Variance = n * k *(N-k) * (N - n) / (N2 *(N-1)) = 3 * 5 * 8 * 10 / (13 * 13 * 12) = 0.5917

Standard deviation = sqrt (0.5917) = 0.769

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