A union strike vote is scheduled for tomorrow, and it looks close. You expect 100 people to vote, and  probability that typical individual will vote to strike is estimated to be 0.4. Suppose that the voters make their decisions independent from each other. In order for the strike vote to be accepted, majority should vote to strike (i.e. at least 50 voters should vote for the strike).

a) In order to answer the following problems, what are the assumptions which you're making (if any)? What type of probability distribution do you think states the union strike scenario?

b) Determine the probability that the strike vote is rejected.

c) Determine the expected number of people who will vote in favor of strike out of these 100. Find out the standard deviation of number of people who will vote in favor of strike out of these 100.