A fair die is rolled 60 times and the number of times an eve

A fair die is rolled 60 times, and the number of times an even number appears is counted.

a. What is the probability that an even number is rolled more than forty times?

b. What is the probability that an even number occurs between 28 and 37 times (inclusive)?

c. Give the mean µ and standard deviation for the number of times an even number is rolled.

d. Compute (do not estimate) the probability that the number of times an even number is rolled is between µ 2 and µ + 2. Compare your answer to what the empirical rule predicts.

Solution