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Question

If 20 percent managers are technocrats, the probability that a random committee of 5 managers consists of exactly 2 technocrats is

A
0.2048
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B
0.4000
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C
0.4096
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D
0.9421
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Solution

The correct option is A 0.2048
We use binomial distribution
p = 20% = 0.2; q=80
= 0.8; n = 5
Probability of exactly 2 technocrats is P(x=2)
P= 5C2(0.2)2 (0.8)3
P=0.2048

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