A basketball player has probability 0. 80 of making any particular free throw (a standardized shot taken 15 feet from the basket) (a) For a season with 200 free throw attempts, use the mean and standard deviation of a binomial distribution to state an interval within which the player has probability about 0. 95 of making (i) that many free throws, (ii) that proportion of free throws. State any assumptions you make. (b) when the player attempts n free throws, as n increases, would you expect the probability to increase, or to decrease, that the (i) proportion of successful free throws is between so. 80- 0. 055 and SO. 80+0. 05$? (11) number of successful free throws is between $0. 80n-55 and 50. 80n+55? Explain your answers