Give the probability distribution for X: x 0 1 2 3
f(x) 1/4 1/8 1/2 1/8

Find Var.

Var(x)=1

Step-by-step explanation:

xp(x)         x²x*p(x)x²*p(x)

01/4    00         0

11/8    11/8             1/8

21/2    41           2

31/8    93/8            9/8

Total                      3/2              13/4

The required variance can be computed as

Var(x)=sumx²*p(x)-(sum(x*p(x)))²

Var(x)=13/4-(3/2)²

Var(x)=13/4-9/4

Var(x)=4/4

Var(x)=1

Thus, the required variance is 1.

5+2x=a

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