14. The number of bacteria in a 10 ml sample of swimming-pool water, Y has a Poisson distribution with mean A = 1.6 (a) (3 pts) What is the probability that no bacteria are found in a 5 ml sample of swimming water? (b) (3 pts) Assume that 10% of bacteria can be classified as dangerous. What is the probability that a 10 ml sample of pool water will contain at least one dangerous bacteria? (c) (4 pts) Suppose now that twenty independent 10 ml samples of pool water are inspected. What is the probability that exactly 2 of the 20 samples contain at least one dangerous bacteria