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 .

Find the value of x that will make l ll m

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as . the probability that mariah will not choose all mysteries can be expressed as 1 −

What is 617.3 miles and each gallon of gas the car can travel 41 miles select a reasonable estimate of the number of gallons of gas karl used.