Smoke detectors: An insurance company offers a discount to homeowners who install smoke detector's in their homes. A company representative claims that 80% or more of the policy holders have smoke detectors. You draw a random sample of 8 policy holders. d. If exactly 80% of the policy holders have smoke detectors, what is the probability that at most 6 of the 8 sampled policy holders have smoke detectors? use the binomial probability calculator to solve the problem.