Supp 1: Suppose that the number of minutes that you need to wait for a bus is uniformly distributed on the interval [0,15]. If you take the bus five times, what is the probability that your longest wait is less than 10 minutes?

Supp 2: Let X1, ..., Xn be independent, exponentially distributed random variables with mean Beta. 
a) Show that Y1=min(X1, ..., Xn) has an exponential distribution with mean Beta/n.
b) If n=5 and Beta=2, find P(Y1 <= 3.6).