Question

A machine that manufactures automobile parts produces defective parts of the time. If parts produced by this machine are randomly selected, what is the probability that fewer than of the parts are defective? Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places. (If necessary, consult a list of formulas. )

Answer 1

To find the probability that fewer than x of the parts are defective, we can use the binomial probability formula.

Step-by-step explanation:

To find the probability that fewer than x of the parts are defective, we can use the binomial probability formula. Let p be the probability that a part is defective. In this case, p = 0.10.

Let n be the number of parts produced.

In this case, n = 100. The probability of getting fewer than x defective parts is given by:

P(X < x) = ∑k=0x-1 (nCk) (p)k (1-p)n-k