One of the issues that environmental engineers are concerned with involves lake pollution. Suppose, for a given lake, a Bernoulli trial is that a fish may be parasitized or not. That is, a fish has a parasite or not. Assume the probability any fish is parasitized is 0.10. Suppose 15 fish are caught such that the capture of the 15 fish comprises a binomial experiment.
a) What is the probability that exactly one fish of the 15 will be parasitized?
b) What is the probability that at most one fish of the 15 will be parasitized?
c) What is the probability that exactly three fish of the 15 will be parasitized?
d) What is the expected number of fish that will be parasitized in the 15 caught fish?
e) What is the standard deviation of the number of fish that will be parasitized in the 15 caught fish?