MATH 1550H Midterm: MATH1550H-Test-Solutions
Document Summary
Legibly, please: if you have a question, ask it, use the back sides of the test sheets for rough work or extra space, you may use a calculator and an aid sheet, do any two (2) of a c. [10 = 2 5 each: determine whether f (x) = (cid:26) 1. 1 is a valid probability density: a hand of ve cards is drawn randomly, one at a time (so order matters) and without replacement, from a standard 52-card deck. What is the probability that the hand includes exactly three s, given that the rst card drawn was a : a fair coin is tossed until it comes up heads for the second time. We check that f (x) satis es the conditions needed to be a probability density function. First, since et > 0 for all t r, it follows from the de nition of f (x) that f (x) 0 for all x r.
