In problem 3-2, suppose that a cost is imposed of an amount equal to the square of the number of additional hours of sleep. What is the expected cost? Explain.
X P(x)
0 ..... 0.01
1 ..... 0.09
2 ..... 0.30
3 ..... 0.20
4 ..... 0.20
5 ..... 0.10
6 ..... 0.10