Question

X is random variable v( x) =2 then v( 2x+3) = ?​

Answer 1

Answer:

8

Step-by-step explanation:

V(x)=2;

say Y= 2x+3 => v(Y)=v(2x+3) = v(2x) +v(3);

we knew that

V(ax)=a^2V(x), where a is constant,

V(a)=0,i.e.variance of constant is zero ; where a is constant

So V(x)=2^2*2 =8

Answer 2

X is random variable v(x) = 2 then v(2x + 3) = 8

Given :

X is random variable v(x) = 2

To find :

The value of v(2x + 3)

Formula :

v(ax + b) = a²v(x)

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that X is random variable v(x) = 2

Step 2 of 2 :

Find the value

v(2x + 3)

= 2² v(x)

= 4 v(x)

= 4 × 2

= 8

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