David heads to the gym to shoot some more free throws. Currently, David makes free throws with probability 0.36. On this particular trip to the gym, he shoots 100 free throws. Assume independence
a) What is the probability that David makes exactly 33 free throws?
b) Use the Normal approximation to find the probability that David makes exactly 33 free throws.
c) Use the Normal approximation to find the probability that David makes more than 44 free throws.
d) Use the Normal approximation to find the probability that David makes between 40 and 45 (both inclusive) free throws.