Math 477, Section 5
Stephen J. Herschkorn

Office Hours:
By appointment, preferably at one of these times:
Monday, 7-8
Wednesday, 4:20-5:20
Wednesday, 7-8

herschko@math.rutgers.edu

General course information

Final Grades. This Excel file contains final exam and course grades identified by the last four digits of your ID. There are also statistics on the final exam and class grade distribution.
There may be a delay in the posting of your grade to your transcript. Graduating seniors, do not worry.

Solution to Second Midterm

Reading assigned 23 January: Section 2.7; Chapter 1, Sections 1-5
Homework #1, due 30 January
Solution

Reading assigned 28 January: Chapter 2, Sections 1-5
Homework #2, due 6 February
Solution

Homework #3, due 13 February:
pp. 57-59, # 3, 7, 12, 18, 19, 33, 35, 37, 39, 41.
Solution
Actually, I think all of Ross's problems are great. If you would like more practice, choose at random from problems 1 to 42.

Reading assigned 13 February: 2.6; start reading Chapter 3.
Homework #4, due 20 February
Solution

Homework #5, due 27 February:
pp. 111-116, # 1, 5, 9, 11, 12, 17, 29, 40.
p. 124, # 1, 2.
Solution

Homework #6, not to be handed in. (Do these before your midterm.):
pp. 115-119, # 34, 35, 38, 39, 47, 49, 50, 55, 64, 65.
Solution

Homework #7, due 12 March:
Look at p. 118, #54, but don't hand it in.
pp. 117-124, # 53, 57, 60, 66, 70, 79, 84, 90.
p. 125, # 11.
(A) Consider Joe and Martha again. In each part below, are the two events independent?
a) Joe arrives after 12:15 and Martha arrives before 12:45.
b) Martha arrives after 12:30 and Joe and Martha arrive within fifteen minutes of one another.
Solution

Recent reading assignments: 4.1, 4.9, 5.4, 4.2.
Homework #8, due 26 March.
Solution

Homework #9, due 2 April:
p. 249, # 15, 16, 19, 21.
pp. 188ff., # 42, 43, 49, 74, 78, 79.
pp. 197ff., # 5, 30(a), 32.
(A) Determine p such that P{X is even} = P{X is odd} when X has geometric distribution with parameter p.
Solution

Homework #10, due 9 April.
Solution

Homework #11, due 16 April. No late homeworks accepted.
Solution

Homework #12, not to be handed in:
pp. 315ff., # 17, 20, 23
p. 319, #5
pp. 189ff., # 20, 28, 35, 38(a)
p. 198, #8
pp. 248ff., # 6, 14
pp. 408ff., # 6, 9, 26(a), 33(a)
p. 418, #1
Solution
Some of these are quite short. Here are other great problems which I omitted to shorten the assignment:
pp. 190ff., # 21, 37
pp. 409ff., # 11, 19(b)
p. 420, # 10, 13(a)

Homework #13, due 30 April.
No late homeworks accepted.
p. 192, #38(b)
p. 249, #18
pp. 410ff., # 19, 22, 31, 32, 75
pp. 423ff., # 41, 48, 49, 50, 54
Solution

Homework #14, not to be handed in.
pp. 194ff., # 54, 55, 60, 63
pp. 317ff., # 41, 43
pp. 413ff., # 48, 51, 64(a), 68
There are three coins in a bowl. One has probability 1/3 of coming up heads; one has probability 3/5 of coming up heads, and the other is a fair coin.
You choose a coin at random and flip until the first head appears. Let X denote the unknown chance of heads for the chosen coin, and let N denote the number of flips.
Determine EN and the conditional probability mass function of X given N.
Solutions

Additional problems on the material from 5 May
pp. 249ff., # 20, 23, 28
p. 414, #57
pp. 457ff., # 6, 10, 15
Solutions