Question

If the variance of a random variable is 2/3,
the value of Var (3x + 5) is
​

Answer 1

If the variance of a random variable is 2/3,

the value of Var (3x + 5) is

Answer 2

If the variance of a random variable is 2/3, the value of Var (3x + 5) is 6

Given :

The variance of a random variable is 2/3

To find :

The value of Var (3x + 5)

Formula :

Var (ax + b) = a² Var (x)

Solution :

Step 1 of 2 :

Write down the given variance

Here it is given that the variance of a random variable is 2/3

So we have , Var (x) = 2/3

Step 2 of 2 :

Find Var (3x + 5)

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

Thus we get

Var (3x + 5)

= 3² Var (x)

= 9 Var (x)

= 9 × 2/3

= 6

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