An athletes score is distributed Uniformly on 0 10 for a sin

An athlete’s score is distributed Uniformly on (0, 10) for a single attempt.
a). What is the probability that the score is between 4 and 6?
b). Use CLT to compute the probability that the average score on 12 attempts is between 4 and

6?
c). How many attempts are necessary so that the average score is between 4 and 6 with proba-

bility .99?

Solution