A k-out-of-n system is one that will function if and only if at least k of the n individual components in the system function. If individual components function independently of one another, each with probability .9, what is the probability that a 3-out-of-5 system functions?

Answer Step 1 of 2 Given p=0.9, n=5, x=3 x n-x The pmf of binomial distribution is P(X)=n x p q c ; x=0,1,....,n