Question

Let X be a random variable with E[X] = 1 and var(X) = 4. Find the following: (a) E[2X − 4], (b) E[X] 2,

(c) E[(2X − 4)2​

Answer 1

Answer:

(a) E[2X -4]

E[X] =1

X=4

2[8-4]

= 8 Ans.

(b) E[X]2

1×2 =2 ans.

(c) E[(2X − 4)2

=1(8-4)2

= 1×4×2

=8 ans.