Let X be number of times Billie naps in a randomly selected day. Suppose X has the following probability distribution X 0 2 W 4 P(X=X) 0.1 0.1 0.1 0.2 0.5 a. (3 marks) What is the probability that Billie naps at most 2 times in a given day? b. (3 marks) On average, how many times does Billie nap each day? c. (3 marks) Suppose I plan to observe the number of times Billie naps on two randomly selected days. Find the probability that Billie naps 4 times on each of these days