Problema Solution
a shipment of 8 computers contains 2 with defects. Find the probability that a sample size of 3, drawn from the 8, will not contain a defective computer.
Answer provided by our tutors
The probability of x defective computer in n trials is:
P = nCx* 
where p and q are the probabilities of success and failure respectively.
In our case p(defective) = 2/8 and q(not defective) =6/8
nCx = 
Since n = 3 and x = 0 we have
nCx = 1
P(no defective computer) = 1*q^n
P(no defective computer) = q^3
P(no defective computer) = (6/8)^3
P(no defective computer) = 0.421875
The probability that a sample size of 3 will not contain a defective computer is 0.421875.