3. Suppose X has a distribution with mean 10 and variance 4, Y has a distribution with mean 20 and variance 9. We do not know whether X and Y are independent. However, we CAN still find thevariance of X+Y with only the information we are given.

True

False

1. If X is a continuous random variable, which of the following conditions does NOT need tobe checked to verify that f(x) is a legitimate probability distribution function?

f(x) must be greater than or equal to 0

f(x) must beless than or equal to1

f(x) must integrate to 1

All of the above must be checked

2. Suppose X has a distribution with mean 10 and variance 4, Y has a distribution with mean 20 and variance 9. You can find the mean of X + Y with this information.

True

False