Math 4311 Probability and Statistics II

Hw10 due 3/16: p. 306 (1, 9, 11, 16 (you can just compute the interval, you don’t have to derive it)), p. 315 (1, 3, 9abc, 11), and p. 322 (1ab, 3, 5ab)

Hw9 due 3/2: MLE Homework

Hw8 due 2/21: p. 205 (1, 7, 13)

Hw7 due 2/19: p. 198 (1, 3, 5)

Hw6 due 2/17: Moment-generating-function Technique Homework

Hw5 due 2/14: p. 186 (1, 3, 13)

Hw4 due 2/ 7: p. 179 (1)

Hw3 due 2/5: p. 170 (1, 3, 7a). Also, for problem 7a, determine the following:

The smallest amount of money possible at the end of the year (minimum).
The greatest amount of money possible at the end of the year (maximum).
The expected value of the amount of money at the end of the year.
Is the expected value exactly half way between the minimum and maximum?
Is the expected value equal to 50,000e^(0.05), where 0.05 = E(R) is the expected value of the interest rate?
Closing remark based on the last two points: Expected values and nonlinear functions do not interact “nicely”, e.g., E[f(R)] =/= f[E(R)]

Hw2 due 1/29: p. 153 (11, 18, 19)

Hw1 due 1/20: p. 139 (1, 3)