Question 470658
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Hi,
Note: The probability of x successes in n trials is: 
P = nCx* {{{p^x*q^(n-x)}}} where p and q are the probabilities of success and failure respectively. 
In this case p(defective) = 3/8 = 3.75   & q = 5/8 = 6.25
nCx = {{{n!/(x!(n-x)!)}}}
(a)n= 1 P(no defective) = (5/8)^1 = 5/8
(b)n= 2 P(no defective) = (5/8)^2
(c)n= 3 P(no defective) = (5/8)^3
(d)n= 5  P(no defective) = (5/8)^5
Calculator will make short work of completing the work