A machine that manufactures automobile parts produces defective parts 14% of the time.

Question

A machine that manufactures automobile parts produces defective parts 14%

of the time. 6

parts produced by this machine are randomly selected, what is the probability that fewer than 2

of the parts are defective?

Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.

Answer 1

Let "success" be machine produces defective parts.

x = number of defective parts. probability of "success" (p) = 0.14, number of trials (n) = 6

P(x = k) = n!/(k!(n-k!)) p^k * *(1-p)^(n-k)

Compute probabilities for k = 0 and k = 1 and sum probabilities.