Suppose that the time between arrivals of customers at a bank during the​ noon-to-1 p.m. hour has a uniform distribution between 0 and 180 seconds. a. What is the probability that the time between the arrivals of two customers will be less than 74 ​seconds? b. What is the probability that the time between the arrivals of two customers will be between 55 and 108 ​seconds? c. What is the probability that the time between the arrivals of two customers will be greater than 118 ​seconds?

6. The life expectancy of a brand of car motors has a normal distribution with "- 75,000 and o - 5,500. a. Find the probability that 1 motor is chosen at random will have a life expectancy of more than 90,000 miles.

16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.

According to a study, the probability that an individual will cover his or her mouth when sneezing is 0.29. If 10 randomly selected individuals are observed, compute the following probabilites. Your answers should be rounded to four decimal places. The probability that five individuals will cover their mouth when sneezing is The probability that six or less individuals will cover their mouth when sneezing is