3 Harry consumes caffeinated beverages at an average rate of

[3] 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 c.d.f., but do not calculate it. (b) Calculate the expected time until Harry consumes 10 caffeinated beverage. . (c) Find the probability that the time until Harry consumes 10 caffeinated beverages is less than 4 days.

Solution