Stephanie Kerry is a very good basketball player. Each time she attempts a freethrow, she misses it with a probability of only 5% (independently of other freethrow attempts). This month, she will attempt 1000 free throws.

(a) What is the distribution of X, the total number of free throws that Stephanie misses this month? Give its name and compute its parameters.
(b) What is the probability that Stephanie will miss at least 61 free throws this month?
(c) Use a Poisson approximation to give an approximation for the probability that Stephanie will miss at least 61 free throws this month.