Question

Managers are very selective about who they interview because it costs a lot of resources to hire a person. On average, the HR has been doing a good job in selecting the right candidate, which allows the company to hire 79 candidates for every 95 candidates they interview. Suppose during a hiring season, 13 candidates interview for a company. What is the probability that the company will fail to hire less than 3 of the candidates?

Answer 1

probability that the company will fail to hire less than 3 of the 13 candidates = probability that the company will hire more than equal to 3 of the 13 candidates

This is a binomial distribution question with
n = 13
p = 0.8316
q = 1 - p = 0.1684
where
P(X = x) = \binom{n}{x} p^x q^{n-x}
Type of x: 4
a) x = 3


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