Question 2. (a) Candidates A, B, C, and D are nalized for the jobs. Only 2 are going to be given the offer. How many different ways you can pick two candidates for the jobs, show your works. (b) Write down the formulas of Binomial Distribution and its mean and variance. (0) If probability of success is 0.35, calculate mean and variance of the binomial distribution B(n, p) = B(10, 0.35). (d) If probability of success is 0.01 and n=100, how you are going to calculate P(X = _ 0), note it down. (e) In each of 4 races, the Democrats have a 65% chance of winning. Assuming that the races are independent of each other, what is the probability that: i. The Democrats will win 0 race ii. The Democrats will win at least 1 race iii. The Democrats will win at most 2 races