According to Definition 7.1 a random variable X is said to be uniformly distributed over the interval (a,b) if it has probability density function f(t)={ba10ift(a,b),otherwise. Suppose that 0<a<b. 1. Determine the probability density function of Y=X+ where >0 and R. 2. Is Y uniformly distributed? Explain your answer. 3. Determine the expectation of X and Y. 4. Determine the variance of X and Y..