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Probability-Statistics

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Axline Computers manufactures personal computers at 2 plants. The Texas plant has 40 employees, the Hawaii plant has 20. A random sample of 10 employees is to be asked to fill out benefit questionnaires.

A. What is the probability that none of the employees in the sample work at the plant in Hawaii?

B. What is the probability that one of the employees in the sample works at the plant in Hawaii?

C. What is the probability that two or more in the sample work at the plant in Hawaii?

D. What is the probability that nine of the employees in the sample work at the plant in Hawaii?

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Solution Summary

Neat and Step-wise solution is provided to determine the probability of different numbers of employees in the sample work at the plant in Hawaii.

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Here, N = 40, n = 10

(A) m = 20, k = 0
P(k; N, m, n) = C(m, k) × C(N - m, n - k)/C(N, n)
P(0; 40, 20, 10) = C(20, 0) × C(20, 10)/C(40, 10) ...

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