Question: A union strike vote is scheduled for tomorrow, and it looks close. You expect 100 people to vote, and the probability that a 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 must vote to strike [i.e. at least 50 voters should vote for the strike].

[A] Find the probability that the strike vote is rejected.

[B] Find the expected number of people who will vote in favor of the strike out of these 100. Find the standard deviation of the number of people who will vote in favor of the strike out of these 100.

[C] In order to answer the following questions, what are the assumptions that you are making [if any]? What kind of probability distribution do you think describes the union strike scenario?