Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high- speed machine are defective. What is the probability that out of six keyboards selected at random, exactly zero keyboards will be defective?
A) 0.001
B) 0.167
C) 0.735
D) 0.500
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The probability of selecting zero defective keyboards out of six is calculated using the binomial probability formula: P(X=k) = (n choose k) * (p^k) * ((1-p)^(n-k)), where n=6, k=0, and p=0.05. This results in approximately 0.735.

Judging from Recent Experience, 5 Percent of the Computer Keyboards