Question

Suppose a fair die is rolled 10 times. Find the numerical values of the expectations of each of the following random variables:

a). the sum of the numbers in the 10 rolls;

b). the sum of the largest 2 numbers in the first 3 rolls;

c). the maximum number in the first 5 rolls;

d). the number of multiples of 3 in the 10 rolls;

e). the number of faces which fail to appear in the 10 rolls;

f). the number of different faces that appear in the 10 rolls.

Answer 1

Answer 2