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 between $130 and $140? Round your answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524

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.