A teaching proposal is submitted to a committee that consists of 5 members. Each committee member will review the proposal and make his/her own decision of either rejecting or approving the proposal. Suppose that the chance of the proposal being approved by each member is 0.6. Using the knowledge of Binomial distribution to answer the following questions.

a) What is the probability that exactly two of the committee members approve the proposal?

b) What is the expected number of approvals from this committee?

c) In order to pass through the committee, the proposal needs to be approved by at least three committee members. What is the probability that the proposal will pass through the committee?