Question

Y=2x- 2 and E(Y)=3 then E(X) is​

Answer 1

Answer:

Y=2x- 2 and E(Y)=3 then E(X) is

Answer 2

The value of E(X) = 5/2

Given :

Y = 2X - 2 and E(Y) = 3

To find :

The value of E(X)

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that Y = 2X - 2 and E(Y) = 3

Step 2 of 2 :

Find the value of E(X)

We know that E(aX + b) = aE(X) + b

E(Y) = 3

⇒ E(2X - 2) = 3

⇒ 2E(X) - 2 = 3 [ ∵ E(aX + b) = aE(X) + b ]

⇒ 2E(X) = 5

⇒ E(X) = 5/2

Hence the value of E(X) = 5/2

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