Problem 5 Listed below are the 15 states with the largest populations. In addition, each state is classified with the variable, coastline, based on whether a state borders the Gulf of Mexico, the Atlantic Ocean, or the pacific ocean. If four states are selected at random: 15 Arizona No a. What is the probability that none of the states selected has any coastline? b. What is the probability that exactly one of the selected states has a coastline? c. What is the probability that one or more has a coastline? Problem 6 A carbon monoxide detector in the wheelock household activates once every 200 days on average. Assume this activation follows the exponential distribution. What is the probability that: a. There will be an alarm within the next 60 days? b. At least 400 days will pass before the next alarm? c. It will be between 150 and 250 days until the next warning? d. Find the median time until the next activation. e. On average how many alarms can be received in one year (365 days) f. What is the probability that we receive at least 3 alarms in one year