Question

What is the mean of f(x) = 3x + 2 where x is a random variable with probability distribution

X = x	1	2	3	4
P(X = x)	`1/6`	`1/3`	`1/3`	`1/6`

विकल्प

• `19/2`

• `15/2`

• `5/2`

• `5/3`

Answer 1

`underline(5/2)`

Explanation:

Mean = `1(1/6) + 2(1/3) + 3(1/3) + 4(1/6)`

= `1/6 + 2/3 + 3/3 + 2/3`

= `1/6 + 7/3 = 15/2 = 5/2`