18.440 Probability and Random Variables Spring 2007
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 Problem sets are due in the UMO (Undergraduate Math Office, 2-108) by 4PM on the due date. Solutions will be posted shortly after the due time. Late problem sets are not accepted, unless a note from the Dean's office or Student Support Services is provided.
 Problem Set 1 Due: 2/14 Solutions Problem Set 2 Due: 2/21 Solutions Problem Set 3Due: 2/28 Solutions Problem Set 4 Due: 3/7 Problem 7(B) was changed from "expected rate of return" to "expected winnings." Solutions Problem Set 5Due: 3/23 Solutions Problem Set 6Due: 4/4 For problems 1,2,3, you may find the PDF for half the length of the random chord. Typo in problem 7: "1/2 hour" should read "1/2 per hour." Solutions   (updated 4/17) Problem Set 7Due: 4/11 There was a typo in the original uploaded version. All problems should be from chapter 6. Solutions   (updated 4/17) Problem Set 8Due: 4/25 Solutions Problem Set 9Due: 5/2 Hint: For problems 1 and 6, first find the marginal density of \$Y\$ and then the conditional density of \$X\$ given \$Y\$. Then use iterated expectation. Solutions Problem Set 10Due: 5/9 Hint: Prob 3 (#20) - Use Jensen's Inequality. Solutions Problem Set 11Due: Never Solutions