Question

The movie critic liked to count the number of actors in each movie he saw. Number of actors Number of movies 5 3 23 2 29 2 31 1 98 2 X is the number of actors that a randomly chosen movie had. What is the expected value of X? Write your answer as a decimal.

Answer 1

xi (number of actors) number of movies probability(p(x)) p(x)xi

5 3 0.3 1.5

23 2 0.2 4.6

29 2 0.2 5.8

31 1 0.1 3.1

98 2 0.2 19.6

Expected value = 1.5+4.6+5.8+3.1+19.6 = 34.6