Imagine that a friend of your is always late. Let the random variable X represent the time when you are supposed to meet your friend until he shows up. Suppose your friend could be on time (X=0) or up to 45 minutes late (X=45), with all intervals of equal time between X= 0 and X=45 being equally likely. Therefore the random variable X is uniformly distributed with 0 < X < 45.

C) Find the probability that your friend is at least 20 minutes late.

D) Find the probability that your friend is at most 30 minutes late.

E) You are supposed to meet at 10 AM. There is 40% probability that your friend will arrive within the next minutes.