1. (3 pts) There are 10 balls in an urn, numbered from 1 to 10. If 5 balls are selected at random and their numbers are added, what is the expected value of the total? Hint: There are possibly many ways. One is to let T be the total sum of the numbers on the chosen balls, and Ii be an indicator random variable that is 1 if we chose ball i in our sample of 5 balls and zero otherwise. Relate T with 11,12, . . . ,I 10 and nd how to get the expected value