(b) has a or b as the first letter! (c) does not contain the letter c? (d) contains the letter c exactly once? Question 2 Suppose that 100 people are competing in a competition. A Gold, Silver, and Bronze medal are to be awarded at the end of the competition. (a) How many ways can these medals be allocated? (b) Suppose that there are 50 men and 50 women in this competition. If the medals are randomly allocated, what is the probability that all medals to go women? (c) Let X count the number of men who win a medal. Determine the PMF and support of X. Is X discrete or continuous