3 Given two independent random variables X and Y and X Bin10

3). Given, two independent random variables X and Y and X~ Bin(100, 0.6) and Y~ Bin (200, 0.07), then find the expected value of the function for given A and B as follows:

1. E (AX-Y) if A=3

2. E (BY-5) if B=1

3. E (3X + Y)

Full work please!!

Solution

3). Given, two independent random variables X and Y and X~ Bin(100, 0.6) and Y~ Bin (200, 0.07), then find the expected value of the function for given A and B as follows:

E(X)=100

E(Y)=200

1. E (AX-Y) if A=3

=AE(X)