Hi
Note: The probability of x successes in n trials is:
P = nCx*where p and q are the probabilities of success and failure respectively.
In this case p= .10 & q = .90
nCx =
P(exactly one defect in a random sample of 5 ) = 5(.10)^1(.90)^4 = .3281
P(no defects in a random sample of 5)= 1(.90)^5 = .5905