(Exponential distribution) An expert says that the number of days before a new case discovered for a rare disease follow exponential distribution with mean 5.   (a) What is the variance of number of days before a new case?   (b) What is the probability that the number of days before a new case is less than 7?   Now consider that instead of rare disease, we are consider a pandemic where the number of days before a new case follow exponential distribution with mean 30. We would like to compute probability that the number days before a new case is less than 20.   (c) What is the Excel formula to compute the answer?

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