Suppose you want to use a model to predict the final scores for a NBA team for the 2017-18 regular season. Also suppose that the scores a team can get each night follows a normal distribution. By using this model, you are not going to get an integer value for the score every time. For example, you may predict that the Boston Celtics will get 102.709 points in today’s game. Suppose you use this model to predict the scores for the Boston Celtics for all their 82 games in the 2017-18 regular season. Their predicted scores Y follows the normal distribution with mean 100.05 and variance 25.

(a). Why would you get some non-integer scores sometimes by using this model? (2pts)

(b). About what percent of the games will the Boston Celtics score more than 110 points in this season? (6pts)

(c). What is the cut off value for the highest 10% of the scores (i.e. 90th percentile)? (6pts)

Answer rating: 100% (QA)

Soln Given that X X 2 X n with recam ... View the full answer