Homework Assignments for ENEE 324 - Engineering Probability

Fall 1999

Homework Assignment 1

• Read Chapter 1 and Sections 2.1-2.4 in Chapter 2 of A. Leon Garcia. Do the following problems in Chapter 2: 19, 29, 36, 41, 42, and 50.

• Due Date: Thursday, Sept. 23

Homework Assignment 2

• Finish reading Chapter 2 in A. Leon Garcia. Do problems 60, 62, 72, 77. Chapter 2.

• Due Date: Thursday, Sept. 30

Homework Assignment 3

• Finish reading Sections 3.1-3.3 in Chapter 3 of A. Leon Garcia. Do the following problems: 2.92, 3.2, 3.4, 3.9, 3.20

• Due Date: Friday, Oct. 8

Homework Assignment 4

• Finish reading Sections 3.4-3.6 in Chapter 3 of A. Leon Garcia. Do the following problems: 3.27, 3.37, 3.39, 3.44, 3.54, and 3.62.

• Due Date: Thursday, Oct. 28

Homework Assignment 5

• Finish reading Sections 3.7 and 3.9 in Chapter 3 of A. Leon Garcia. Do the following problems: 3.65, 3.79, 3.83, 3.100.

• Due Date: Thursday, Nov. 4

Homework Assignment 6

• Finish reading Sections 4.1-4.2 in Chapter 4 of A. Leon Garcia. Do the following problems in Chapter 4: 3, 10, 17, 18

• Due Date: Tuesday, Nov. 16

Homework Assignment 7

• Finish reading Sections 4.3-4.4 in Chapter 4 of A. Leon Garcia. Do the following problems in Chapter 4: 21, 25, 31, 38

• Due Date: Thursday, Nov. 18

Homework Assignment 8 (Optional and Extra Credit)

Read Sec. 2.7, 3.11 and Appendix C in your textbook and use C, Matlab or other programming languages for the following. (1) Plot the pmf of a Binomial random variable X with n=100 and p=0.05. Calculate E(X) and VAR(X). (2) Write a program to generate a random number with Binomial distribution with n=100, p=0.05 using the method in Sec 2.7 and 3.11. Plot the empirical pmf of the random variable you have generated. Do this when the length of the sequence is (a) 1000, (b) 10000, (c) a very large number. Is there any difference in the shape of the empirical pmfs? Are the results consistent with the theoretical result? (3) Compute the empirical mean and the variance of the sequences under these three situations. Are the results consistent with the theoretical result?

• Due Date: Tuesday, Dec. 7

Homework Assignment 9

• Finish reading Sections 4.6-4.9 in Chapter 4 of A. Leon Garcia and Sections 5.1-5.3. Do the following
• Problems 49, 51, 60, 90 in Chapter 4 and Problems 3 and 22 in Chapter 5.

• Due Date: Thursday, December 16, 1999