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

In a probability experiment, karen flipped a coin 76 times. the coin landed on heads 32 times. what percentage of the coin flips resulted in tails? round to the nearest percent. a. 58% b. 65% c. 42% d. 60%

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.