Problem 5: Let X and Y be independent random variables such that X is uniformly distributed over (0, 1) and Y is exponentially distributed with parameter λ = 1. (a) Compute P{X < Y }. (b) Find the distribution of Z = X + Y . (c) Find the distribution of W = X/Y

A. the following events are mutually exclusive: living in california and watching american idol. true or false b. the number of patients seen by an outpatient practice is an example of a discrete random variable. true or false c. the law of large numbers states that as the number of times an event experiment is conducted increases, the likelihood of the actual probability of an event approaching the theoretical probability decreases. true or false d. measuring the time it takes for patients to enter the operating room is an example of a continuous random variable. true or false