Mathematics Homework Solutions

Sets, Counting and Probability : DeMorgan's Law

The result of using De Morgan's Law to Simplify (S' intersection of T") is: ? a. S' union of T b. S union of T' c. S intersection of T' d. S' instersection of T e. None of the above

Sets, Counting & Probability : Subsets and Intersection

Consider the following sets: U = {1,2,3,4,5,6,7,8} A = {2,4,6,8} B = {1,2,3,5,7} Which of the following statements is true? a. A intersection of B is the subset of A b. A intersection of B = 0 c. A is the subset of A intersection of B d. A intersection of B = U

Probability & Statistics : Quartiles

The test scores of 30 students are listed Below. Find Q3; 31 41 45 48 52 55 56 56 63 65 67 67 69 70 70 74 75 78 79 79 80 81 83 85 85 87 90 92 95 99

Probability : Let X denote the number of boys in a family with four children. Pr(X>3) is: ?

Let X denote the number of boys in a family with four children. Pr(X>3) is: ?

Finding the score needed on a final exam to obtain a desired average.

Your score on three tests are 76,88, and 72. Your grade on the final exam will count twice as much as any one test grade in determining your average grade for the course. In order for your average grade for the course to be 82, your grade on the final exam must be: ? a. 85 b. 87 c. 77 d. 92 e. none of the above

If 10 federal income tax returns are selected at random, the probability that fewer than two of them will conatin errors is

Suppose the probability that a federal income tax return conatins an arithemetic error is 0.2. If 10 federal income tax returns are selected at random, the probability that fewer than two of them will conatin errors is:

Probability & Statistics : Outcome of Dice Rolls

Two people play a game. A single die is thrown. If the outcome is a 2 or a 3, then player A pays player B $6.00. How much should B pay A when a 1, 4, 5, or 6 is thrown so that A and B break even, on average, over many repititions of the game? a. $2.00 b. $8.00 c. $4.00 d. $6.00 e. None of the above

Probability & Statistics : Chebychev Inequality

Suppose that a probability distribution has a mean 20 and standard deviation 3. The Chebychev inequality states that the probability that an outcome lies between 16 and 24 is: a. less than 7/16 b. at least 7/16 c. at most 1/4 d. at least 1/4 e. none of the above

Probability & Statistics

Problem: The IQ of adults in a certain large population is normally distributed with mean 100 and standard deviation10. If a person is chosen at random form this group. the probability that the person's IQ is less than 85 or greater than 110 is: a. 0.7745. b. 0.9081. c. 0.2255. d. 0.0919. e. none of the above

Compound interest

Problem: $4000 deposited at 12% interest compounded monthly will grow to $43570.22 in 20 years. What is the i, n, P, and F for this situation? a. 12%; 20; $4000; 43570.22 b. 0.01; 20; $4000; $43570.22 c. 0.15; 240; $43570.22; $4000 d. 0.01; 240; $4000; $43,570.22 e. none of the above

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