Suppose A is a random variable and Y is not a random variabl

Suppose A\' is a random variable and Y is not a random variable. What kind of variable (random or not random) is W when ... W = X + Y b W = XY W = 2Y W = X^2 ask yourself the question, do I know the value of W before the experiment that determines x is run?

Solution

a) W=x+y

Since x is a random variable and W involves sum of X, W is a random variable

b) W=xy

Yes a random variable as distribution of w is distribution product of a random variable x with y

c) W=2y

No not a random variable.

Since W does not depend on any random variable

d) W=x^2

is a random variable.