You play a game where the amount you win (or lose, if negati…

You play a game where the amount you win (or lose, if negative) can be $1,000, $100, $0, or -$2,000. Let X be the amount you win (or lose), and assume the distribution of X is the following: P(X = 1,000) = 0.2, P(X = 100) = 0.4, P(X = 0) = 0.25, and P(X = -2,000) = 0.15. X P(X) 1000 0.2 100 0.4 0 0.25 -2000 0.15 Match the answers for the following questions:

Ship collisions in the Houston Ship Channel are rare. Suppos…

Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1.2 collisions every four months. What is the probability of having three or less collision over a four-month period? Round you answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524 below.

According to data, the average monthly household cellular ph…

According to data, the average monthly household cellular phone bill is $141. Suppose monthly household cell phone bills are normally distributed with a standard deviation of $13. What is the probability that a randomly selected monthly cell phone bill is more than $120? Round your answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524