probability distribution and expected value.

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A certain town performs a survey and discovers that 15% of their population have hazel-coloured eyes.

a. If 5 people are randomly selected from the town, what is the probability that 2 of the people have hazel eyes?

b. What is the expected number of people with hazel eyes in the group of 5 people?

c. Create a probability histogram for the above situation for the outcomes from 0 to 5 people with hazel eyes.

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what's the population of the town?

a. use binomial distribution

b. find the probability that $k$ people have hazel eyes and hen solve $\sum_{k=0}^{5} k P(X=k)$

c. use you finding in b