Question

Let X be a random variable such that P(X = –2) = P(X = –1) = P(X = 2) = P(X = 1)

=

1

6

and P(X = 0) =

1

3

. Find the mean and variance of X.​

Answer 1

Answer:

mean = 0

variance=4/3

Step-by-step explanation:

mean = (-2) 1/6+(-1) 1/6+2(1/6) +1(1/6) +0(1/3)

= -2/6-1/6+2/6+1/6+0

= 0

variance=(-2^2) (1/6) +(1^2) (1/6) +( 0^2) (1/3) +2^2(1/6) +1^2(1/6)

= 4/6+1/6+0+4/6+1/6

= 10/6

= 4/3