STAT 345: Elements of Mathematical Statistics and Probability
Homework and Solutions for Stat 345

Homework #1:

• Section 2.1 # 2, 6, 19, 23
• Section 2.2 # 34, 37, 41
• Section 2.3 # 50, 52, 56
• Dr. Huerta's quiz on Friday, September 2 will cover Sections, 2.1,2.2 and 2.3

Solutions - Note that solutions are numbered for the second edition, but the problems are mostly the same, with a few exceptions, listed below.

• Page 1 of solutions in jpeg format, in pdf format
• Page 2 of solutions in jpeg format, in pdf format
• Page 3 of solutions in jpeg format, in pdf format
• Page 4 of solutions in jpeg format, in pdf format
• Page 5 of solutions in jpeg format, in pdf format
• Page 6 of solutions in jpeg format, in pdf format
• Page 7 of solutions in jpeg format, in pdf format
• Changes in solutions for the third edition:
  • Problem 34: (a) 0.4, (b) 0.6, (c) 0.6, (d) 1, (e) 0
  • Problem 50: (e) 0.1
  • Problem 52: (a) 0.7, (b) 0.95, (c) same as solutions

Homework #2:

• Section 2.4 # 58, 62
• Section 2.5 # 70, 74, 76
• Dr. Huerta's quiz on Friday, September 9 will cover Sections, 2.4 and 2.5.
• Section 2.6 # 84, 87, 90



• Solutions
  • Solutions to Section 2.4 in pdf format
  • Solutions to Section 2.5 in pdf format
  • Solutions to Section 2.6 in pdf format
  • Problem 2-62 part (c): P(both defective) = P(2nd def. | 1st def)*P(1st def) = (19/99)*(20/100) = 0.0384.

Homework #3:

• Section 3.2 # 14,16,21
• Dr. Huerta's quiz on Friday, September 16 will cover Sections, 2.6 and 3.2.
• Section 3.3 # 27,28,33
• Section 3.4 # 38, 39, 45



• Solutions
  • Solutions to Section 3.2 in pdf format
  • Comments on solutions for Section 3.2:
    • Problem 3-14, part b: 1/6 + 1/3 = 1/2
    • Problem 3-16: (c)8/56, (d) 1
    • Solutions to Section 3.3 in pdf format
    • Solutions to Section 3.4 in pdf format

Test 1 for Section 2 (Huerta) will be on Friday, September 23 . You may bring one page (8.5X11'') of notes and a calculator to the exam. The material that will be covered in the test is Chapter 2 secs. 2.1- 2.6 and Chapter 3 Sections 3-2, 3-3.

Practice exam 1 is available in pdf format. The figure for Problem 5 is here in jpeg format. From this practice exam you must only work on problems 1,4, 5 and 6 and problem 1 from the supplemental list.

Homework #4:

• Section 3.5 # 46,51
• Section 3.6 # 62, 66, 70
• Dr. Huerta's quiz on Friday, October 7 covers Secs. 3.5 and 3.6 . Section 3.4 must be reviewed to understand all the material in 3.5 and 3.6.

• Solutions to Section 3.5 in pdf format
• Solutions to Section 3.6 in pdf format

Homework #5:

• Section 3.7 # 72, 75, 80, 81a-d, 84
• Section 3.8 # 86, 89,90
• Section 3.9 # 97, 99, 101
• Dr. Huerta's quiz on Friday October 21 covers 3.7, 3.8 and 3.9



• Solutions
  • Solutions to Section 3.7 in pdf format
  • Solutions to Section 3.8 in pdf format
  • Solutions to Section 3.9 in pdf format
  
  
  
• Homework #6:
  
  
• Section 4.2 # 1, 2, 5
• Section 4.3 # 11, 13, 19
• Section 4.4 # 22, 24, 30
• Dr. Huerta's quiz on October 28, covers sections 4.2, 4.3 and 4.4.

Solutions

• Solutions to Section 5.2/4.2 in pdf format
• Solutions to Section 5.3/4.3 in pdf format
• Solutions to Section 5.4/4.4 in pdf format

Homework #7:

• Section 4.5 # 37
• Section 4.6 # 39, 43, 45, 49, 57

• Solutions to Section 5.4/4.4 in pdf format
• Solutions to Section 5.5/4.5 in pdf format
• Page 1 of solutions to Section 5.6/4.6 in jpeg format
• Page 2 of solutions to Section 5.6/4.6 in jpeg format
• Page 3 of solutions to Section 5.6/4.6 in jpeg format
• Page 4 of solutions to Section 5.6/4.6 in jpeg format

Practice problems for Test 2 in pdf format practice_t2.pdf. This practice exam is from a previous semester and is intended as a guide.

Test 2 for Dr. Huerta's section will be on Friday, November 4 . It will cover Chapter 3 and Chapter 4, sections 4.1-4.6. You may use one 8.5x11" page of notes (both sides) and a calculator for the test. Tables of the Normal distribution will be provided in the test.

Homework # 8:

Section 4.7 # 61

Section 4.9 # 73, 75, 81, 85

Solutions to Section 5.9/4.9 in pdf format

Homework #9:

Section 5.1 # 1, 2, 3, 4, 5, 6

Section 5.5 # 67

Section 5.7 # 87, 89

Solutions

• Solutions to Section 5.1 in pdf format for the THIRD edition.
• Solutions to Section 5.5 in pdf format for the THIRD edition.
• Solutions to Section 5.7 in pdf format for the THIRD edition.

Homework #11:

• Section 7.5 # 35, 37, 39, 42
• Dr. Huerta's quiz on Friday, December 2 will cover 5.5, 5.7 and 7.5
• Section 8.2 # 8, 10, 13
• Section 8.3 # 22, 25b (assume normality)
• Section 8.5 # 42, 48

Solutions

• Solutions to Section 7.5 in pdf format for both editions.
• Solutions to Section 8.2 in pdf format.
• Solutions to Section 8.3 in pdf format
• Solutions to Section 8.5 in pdf format.

Practice final in pdf format.

Answers to the practice problems for the final exam are here in pdf format.

Final Exam information for Huerta's section:

• The final exam is on Monday , December 12 from 3:00-5:00pm in our regular classroom (DSH 129). Please arrive early because you will not have extra time to finish the test.
• The exam will be composed of approximately 25% old material and 75% new material (new material = material covered after Test 2). The new material is formed by sections 4.9, 5.1,5.5, 5.7, 7.5, 8.2,8.3 and 8.5.
• You may bring two pages of notes (8.5 x 11") (both sides) to the exam. You should also bring a calculator. I will bring the tables for the Normal and t-didistributions to the exam.
• I will have extended office hours during the week of Dec. 5-9. MWF from 3-5:30pm. Please contact me by e-mail if you'd like to arrange an appointment at another time.

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