Question

E (2x + 3) is
(a) E(2x)
(b) 2E(x) + 3
(c) E(3)
(d) 2x + 3

Answer 1

(d) 2x+3 is the answer

Answer 2

Hi ,

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The expected value of ' X ' is usually

written as E( X ) .

E( aX + b ) = aE( X ) + b

Where ,

a and b are constants .

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Now ,

According to the problem given ,

E( 2x + 3 ) = 2E( x ) + 3

Option ( b ) is correct.

I hope this helps you.

: )