Question

A production process historically produces 95% items that are considered acceptable quality-wise and 5% that are defective.A sample of 50 items is taken. Determine the following probablities:
Probability that exactly 47 items will be good.

Answer 1

Try a binomial probability table or use a binomial probability function, which is this:

P(x) = (nCx)(p^x)[q^(n-x)]
x = 47
n = 50
p = .95
q = .05 (q is 1-p)

I'll let you take it from here.