Question

If Var(X) = 4, then find the Var( 3X+8) where X is a random variable.​

Answer 1

Answer:

var(3X+8)=var(3X)+var(8)

(3)2 var (x) + 0

9*4

36

Step-by-step explanation:

Answer 2

If Var(X) = 4 , the value of Var (3X + 8) is 36

Given :

Var(X) = 4

To find :

The value of Var (3X + 8)

Formula :

Var (ax + b) = a² Var (x)

Solution :

Step 1 of 2 :

Write down the given variance

Here it is given that Var(X) = 4

Step 2 of 2 :

Find Var (3X + 8)

We use the formula Var (ax + b) = a² Var (x)

Thus we get

Var (3X + 8)

= 3² Var (X)

= 9 Var (X)

= 9 × 4

= 36

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