Data collected at an airport suggests that an exponential distribution with mean value 2.675 hours is a good model for rainfall duration.(a)What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places.)at least 2 hoursat most 3 hoursbetween 2 and 3 hours(b)What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.)What is the probability that it is less than the mean value by more than one standard deviation?

Data collected at an airport suggests that an exponential distribution with mean value 2.675 hours is a good model for rainfall duration. (a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? [Round your answers to four decimal places.) at least 2 hours E at most 3 hours E between 2 and 3 hours |: (b) What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.) :I What is the probability that it is less than the mean value by more than one standard deviation? :l