Fall 2024 MATH 350: Probability

Remember to always clearly show work when solving all problems. Your solutions should be clear and readable. Except for rare, elementary problems, writing down just the answer will not be counted as having solved the problem.

Assignments


Assignment #1 (Due Monday, September 16):
Section 1.2: Problems: 7, 8, 9, 10, 16, 17ab, 18, 19, 20, 21, 22, 23, 26
(Not assigned, but very interesting: Section 1.2: Problems 24, 25, 31)
Additional problems:
A1.1: Two fair dice are rolled. Determine the probability that twice one of the numbers obtained is less than the other number obtained.
A1.2: A square dartboard has the largest possible circle inscribed in it. We throw a dart 100,000 times. Suppose the dart hit the square dartboard outside of the circle 21,776 times while all the remaining hits were inside the circle. Estimate the value of pi. (Assume the probability of hitting any point is the same and that each time we hit the dartboard.)


Assignment #2 (Due Monday, September 23):
Part 1:
Section 2.2: Problems 1 through 8a-f, 14a, 15
(Not required but interesting: Section 2.2: Problems 12, 16)
Part 2 of the assignment will be assigned in class on a separate sheet.


Assignment #3 (Due Monday, September 30, in class):
Section 3.1: 5, 6, 8, 10, 11, 13, 15, 17
Section 3.2: 7, 8, 9, 10, 11 (such a cool problem!), 12de, 13, 21 , 22, 25, 39
(Not assigned, but interesting): 3.2: 18, 35