# 800 023 01 Mathematics for Decision Making [Campbell] Homework Assignments

No Homework will be collected, but problems you should look at are listed below.

Answers/solutions to the even number problems which I have listed are available for the material on the second test (counting, probanbility and statistics) and for the material on the final not previously covered (interest and modular arithmetic)

Text: Miller, C. D., et al. Mathematical Ideas, ninth edition.

• page 59 - 59-82 (e.g., 59, 65, 68, 71, 73, 80, 82)
• page 65 - 7-74 (e.g., 7, 10, 12, 15, 16, 18, 20, 26, 37, 42, 44, 49)
• page 78 - 7-62, 71-126 (e.g., 7, 8, 21, 32, 40, 45, 48, 54, 60, 72, 80, 83, 92, 98, 100, 113, 116, 121, 124)
• page 87 - 21-22 (e.g., 22)
• page 118 - 7-18, 45-58, 75-80 (e.g., 4, 11, 17, 25, 45, 47, 55, 75, 79); also:
Use DeMorgan's laws to write the negation of (∼P∨Q) [i.e., of not P or Q]
Use the distributive laws to rewrite P ∧ (Q ∨ ∼ R) [i.e., rewrite P and (Q or not R)]
(Yes, you will be required to know the distributive laws as well as DeMorgan's laws)
• page 128 - 55-63, 79-86 (e.g., 28, 36, 55, 57, 60, 80, 81)
• page 135 - 1-14 (e.g., 2, 9, 12)
• page 154 - 1-24 (e.g., 17, 18)
[First Test]
• page 625 - 25-51 (e.g., 15, 20, 25, 29, 31, 32, 33, 34, 41, 42, 43, 49)
• page 637 - 1-21 (e.g., 1, 4, 6, 8, 15, 19, 23, 26)
(yes, you must be able to do combinations problems)
• page 666 - (e.g., 6, 8, 9, 13, 42, 43)
• page 675 - (e.g., 4, 6, 11, 13, 16)
• page 684 - (e.g., 2, 6, 13, 17, 23, 24, 25); also:
If P(A) = .4 and P(B) = .6, and A and B are independent, P(A ∩ B) = ? P(A ∪ B) = ? (If symbols are missing, they are union and intersection signs; the question marks after the equal signs are question marks)
If P(A) = .4 and P(B) = .6, and A and B are mutually exclusive (disjoint), P(A ∩ B) = ? P(A ∪ B) = ? (If symbols are missing, they are union and intersection signs; the question marks after the equal signs are question marks)
What is the probability that two face cards are drawn from a standard 52 card deck if they are drawn without replacement? If they are drawn with replacement?
• page 700 - 1-17, 24-26 (e.g., 4, 5, 13, 24)
• page 718 - [no problems are suggested, we shall not discuss the material in this section]
• page 734 - 1-11, 19-29 (e.g., 3, 8, 19, 20, 21, 22, 23, 24, 28)
(Also be able to calculate the midrange)
• page 745 - 3-12 (e.g., 5, 6)
• page 753 - (e.g., 5, 6, 7, 22)
• page 764 - (e.g., 11, 12, 13, 14, 27, 33)
[Second Test]
• http://www.math.uni.edu/~campbell/023/chi.html - 9, 11
• page 339 - 9-58 (e.g., 9, 11, 17, 37, 49, 51, 57)
Also: How do you solve x + 7 = 5?
How do you solve -x/5 = 10?
• page 377 - 1-34, 37-39 (e,g, 1, 3, 9, 13, 19, 37)
• page 423 - (e.g., 3, 4, 7, 9)
• page 432 - 1-36 (e.g., 5, 11, 13, 19, 33)
• page 469 - 1-21, 25-40 (e.g., 2, 5, 15, 17, 19, 21, 27, 37, 39)
• page 498 - 3-8 (e.g., 5, 7)
• page 514 - (e.g., 7, 9, 13, 19, 23)
[Third Test]
• page 797 - 1-24, 31-42, 64-67 (e.g., 1, 3, 7, 11, 13, 18, 23, 31, 35, 41, 65)
Also: Using the table on page 824, if you have a 20 year mortgage for \$80,000 at 7%, a) what is your monthly payment? b) what is the total of all your payments? c) how much interest will you pay in total? d) what fraction of your total payments is interest? e) what fraction of your first payment is interest?
• page 239 - 1-16 (e.g., 1, 3, 7, 9)
Also: Find all solutions to 2 + x = 3 (mod 5)
Find all solutions to 2x = 3 (mod 5)
If September 1 is a Tuesday, what day of the week is October 1?

13 NO 02
campbell@math.uni.edu

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