I need help solving this problem. Please help me by answering and showing explanations.

Problem 3. (30 points). Over the summer, you notice that the prot X from any given project seems to be uniformly distributed between $0.5 million and $1.5 million. However, due to low quality work, Engineer Nick's often has to go back and do repairs on its past projects, without charging the client. The cost of these repairs Y is also uniformly distributed between 0 and $1 million. Assume these values are independent. (a) (10) What are the mean and standard deviation of the amount of repairs? (b) (5) Write the joint PDF for X and Y. (c) (10) What is the probability that the company has to spend more on repairs than it makes in prot on a given project? (d) (5) What is the correlation coeicient between X and Y