STAT question

5. For each of the following, determine which named discrete distribution should be used, in- cluding the appropriate parameter values and support. If necessary, you may set up additional assumption(s). (a) (2 pts) AJ is practicing shooting free throws. On average he makes about 60% of his shots. His sister challenges him to make 3 free throws and counts the number of shots it takes him to make them. We assume that each shot is independent. (b) (2 pts) Suppose a book has 200 pages and 20 of those pages contain an error. An editor will go through and randomly select 40 pages of the book to check for errors. As part of the editing process, she will count the number of pages denoted by X in her sample of 40 that contain an error. (c) (2 pts) A submarine's probability of sinking an enemy ship with any ring of its torpedos is 0.8. Let X be the number of torpedos needed until sinking the enemy ship. We assume the independence among torpedos