Yuri · 2022年11月29日

# 问

NO.PZ2015120604000059

Suppose the probability of a good economy is 0.4 and the probability of a poor economy is 0.6. The conditional probabilities of product H's profit are in the table below. What is the expected profit of product H?

A.

15.

B.

10.2.

C.

12.5.

B is correct

E(H)=E(H|Good)+E(H|Poor)

E(H|Good) = 0.1*0+0.3*10+0.6*20=15, and E(H|Poor) = 0.5*0+0.3*10+0.2*20 = 7,

E(H) = (0.4)(15) + (0.6)(7) = 10.2.