1- A raffle offers a first prize of $750, two second prizes of $100, and 4 third prizes of $50. Tickets cost $2 each and 1000 tickets are sold. Find the expected payback for a person that buys a ticket.

2- From a group of 6 men and 10 women, a delegation of 4 people are selected. Find the expected number of men in the delegation.

3- From a group of 6 men and 10 women, a delegation of 4 people are selected. Find the expected number of men in the delegation.

4- We are studying families with 5 children. If the probability of having a boy is 0.5, what is the probability the family has exactly 4 boys? and what is the probability the family has at least 4 boys?

5- In a certain college, 60% of the math majors belong to ethnic minorities. Find the probability of the event from a random sample of 10 students who are math majors:

a) P(exactly 3 belong to an ethnic minority)

b) P(at most 7 belong to an ethnic minority)