Question

let X and Y be independent random variables with E[X]=3,E[X2]=25,E[Y]=10 and E[y2]=164. i)Find E[3X+Y-8] ii)Find Var X iii)Find Var[3X+Y-8]

Answer 1

I hope this answer help you

Answer 2

Answer:

1. 1

2. 16

Step-by-step explanation:

If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa.

Let X and Y be independent and identically distributed.

1. E(3x+Y-8) = 3 E(X) + E(Y) - 8

= 3 (3) + 10-8

= 1

2. Var(x) = E(x2) - E(1×1)

= 25-9

=16

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