A basketball player shoots free throws until he makes one. However, because his coach wants him to practice his technique and the feel of the motions, his coach has the player blindfold himself, which makes each throw independent from the others. When he is blindfolded, he has only a 2% chance of making a free throw on any particular try.
a. What is the probability that he will have to throw over 100 balls until he makes his first basket?
b. What are the expected value and standard deviation for the number of throws he will need to make until he gets his first basket?
c. What would you have to change about this story to turn it into a Binomial question?