A basketball player attempts 20 shots from the field during a game. This player generally hits about 35% of these shots. (a) In order to use a binomial model for the number of made baskets, what...

A basketball player attempts 20 shots from the field during a game. This player generally hits about 35% of these shots.

(a) In order to use a binomial model for the number of made baskets, what assumptions are needed in this example? Are they reasonable?

(b) How many baskets would you expect this player to make in the game?

(c) If the player hits more than 11 shots 112, 13, 14, c, or 202, would you be surprised?

(d) How many points would you expect the player to score if all of these are 2-point shots?

(e) If this player randomly takes half of the shots from 3-point range and half from 2-point range and makes both with 35% chance, how many points would you expect the player to score?