Totoro arrives at the Catbus stop at a time uniformly distributed between 12:15 PM and 12:45 PM while Satsuki arrives independently at the stop uniformly distributed between 12 PM and 1 PM. a. What is the joint pdf for the arrival times for Totoro and Satsuki?
b. Compute the probability that the first character to arrive waits no longer than 10 minutes for the other.

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.