1. Let X be a continuous random variable taking values between 0 and 2with probability density function p(x) = 0.5. FindE(X) ,Var(X)and Stdev(X). Plotits Cumulative Distribution Function.
2. Suppose that X and Y are two normally distributed random variables. X has mean 2 and standard deviation 3.Y has mean 3 and standard deviation 2. Their correlation is 0.6
What is the mean and standard deviation of X + Y ? What is the distribution of X + Y ? What if X and Y are jointly normally distributed? What if they are not jointly normally distributed?
Explain your answer.