Question 3 The exponential distribution is a probability distribution that describes the time needed for a process to change state. Suppose the number of minutes you wait in line for lunch at the HUB has the probability density function Ce-®/11 x > 0 P(2) = { (a) In order to be a probability density function, we require p(x) dx = 1. Use this to solve for the normalization constant C. (b) The probability that the wait time is between a and b minutes is given by p(x) dx. Find the probability that i. you wait between 5 and 8 minutes for your lunch. ii. you wait at least 15 minutes for your lunch.

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