An inspector for air pollution decides to inspect 8 of company's 16 trucks. 5 of those trucks have pollutants above accepted level. Suppose the trucks the inspector looked at were chosen randomly.
a) Determine the probability that he finds out exactly three trucks with pollutants above the accepted level?
b) Determine the probability that he finds out at least three of the trucks with pollutants above the accepted level?
c) Determine the expected number of trucks with pollutants above the accepted level he will find?