In a certain large lake 25% of the fish are thrown back because they are too small.Consider catching 30 fish from the lake.Assume that the fish you caught can be considered a random sample from the very large number of fish in the lake.Let Y = the number of fish that you throw back because they are too small.

a.Explain how Y can be considered a binomial random variable.

b.Find the probability that exactly 5 fish are thrown back.Show your work.

c.Calculate and interpret the mean of Y.

d.Calculate and interpret the standard deviation of Y.