Question

The probability that a man fishing at a particular place will catch 1, 2, 3, and 4 fish is 0.4, 0.3, 0.2, and 0.1. What is the expected number of fish caught?

Answer 1

Let X denote the no.of fish caught by the man.

X	1	2	3	4
P(x)	0.4	0.3	0.2	0.1

E(X) ) = 1(0.4) + 2 (0.3) + 3 (0.2) + 4 (0.1) 

= 0.4 + 0.6 + 0.6 + 0.4 

= 2