Question

Judging from recent experience, 5% of the computer keyboards produced by an automatic, high-speed machine are defective. If six keyboards are randomly selected, what is the probability that less than 3 of the keyboards are defective? *

Answer 1

X : number of defective keyboards.

X ~ bin ( n,p)

where, n = 6, p = 0.05, q = (1-p) = (1-0.05) = 0.95

the pmf of the distribution be :-

the probability that less than 3 of the keyboards are defective is:-

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