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Harry consumes caffeinated beverages at an average rate of 3 per day. (a) Find the probability...

Harry consumes caffeinated beverages at an average rate of 3 per day.


(a) Find the probability that the time between two caffeinated beverages is greater than 9 hours. Derive the formulation using the cumulative distribution function, but do not calculate it.
(b) Find the probability that the time until Harry consumes 10 caffeinated beverages is less than 4 days.
(c) Calculate the expected time until Harry consumes 10 caffeinated beverages.

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