Directions: Fill out this answer sheet by April 1, 2018 11:59 pm Eastern Time. Do all of your work on this answer sheet. If you must, you may include additional pages to this answer sheet; however, if you do not properly fill out this answer sheet your problems will not be graded. If you have any questions about this assignment, always feel free to ask your instructor.

* Page numbers are approximated due to version control of the eResources, especially for Illowsky et al.

** Week 3 Homework problems.

Concepts

C1. Evaluate: 0!

1. 0
2. 1

C2. Given the following: A = {1,2,3} and B = {3,4,5} evaluate the following.

1. A AND B = { }

1. A OR B = { }

C3. Given S = {1,2,3,4,5,6,7,8,9}, A = {1,3,5}, B = {2,3,6,8} where A and B are subsets of S meaning that all the elements of both A and B are contained within the set (space) S. Evaluate the following.

1. A AND B = { }

1. A¢ = {                   }

1. (A OR B) ¢ = { }

Book Problems

Lane Chapter 5

7A. You flip a coin three times. What is the correct space of possibilities for coin flips. H= heads, T = tails.

1. TTT, TTH, THT, HTT, HHH, HHT, FLP, CCC
2. HHH, TTH, THT, TTT, HHH, THT, TTT
3. TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
4. TTT, THH, TTH, HTT, HHT, HFH, TFH

7B. You flip a coin three times. What is the probability of getting heads on only one of your flips Select the correct answer and show work for credit.

1. 375
2. 875
3. 125
4. 625

7C. You flip a coin three times. What is the probability of getting heads on at least one flip? Select the correct answer and show work for credit.

1. 125
2. 875
3. 625
4. None of the above

27A. A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. Imagine you stick your hand in this refrigerator and pull out a piece of fruit at random. What is the probability that you will pull out a pear?

1. 3/44
2. 4/44
3. 5/44
4. 7/44

27B. A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. Imagine now that you put your hand in the refrigerator and pull out a piece of fruit. You decide you do not want to eat that fruit so you put it back into the refrigerator and pull out another piece of fruit. What is the probability that the first piece of fruit you pull out is a banana and the second piece you pull out an apple?

1. 031
2. 042
3. 058
4. 066

27C. A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. What is the probability that you stick your hand in the refrigerator one time and pull out a mango or an orange?

1. 112
2. 125
3. 159
4. 5/44

Illowsky Chapter 3

For problem 98A and 98B: At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.

98A. Find the probability that a course has a final exam or a research project. Show work and select the correct answer to receive full credit.

1. 73
2. 82
3. 96
4. 86

98B. Find the probability that a course has NEITHER of these two requirements. Show work and select the correct answer to receive full credit.

1. 10
2. 12
3. 14
4. 16

For problem 124A-C: The percent of licensed U.S. drivers (from a recent year) that are female is 48.60. Of the females, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of the licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over.

Suppose that 10,000 U.S. licensed drivers are randomly selected.

124A. How many would you expect to be male?

1. 5140
2. 5080
3. 6279
4. 4350

124B. Using the table or tree diagram, fill in the contingency table of gender versus age group.

124C. Using the contingency table, find the probability that out of the age 20–64 group, a randomly selected driver is female.

1. 51
2. 42
3. 49
4. 61

Illowsky Chapter 4

For problem 80A-D: Florida State University has 14 statistics classes scheduled for its Summer 2013 term. One class has space available for 30 students, eight classes have space for 60 students, one has space for 70 students, and four classes have space for 100 students.

80A. What is the average class size assuming each class is filled to capacity? Show work and select the correct answer for full credit.

1. 60
2. 70
3. 80
4. 90

80B. Space is available for 980 students. Suppose that each class is filled to capacity and select a statistics student at random. Let the random variable X equal the size of the student’s class. Define the PDF for X. Fill in the table.

80C. Find the mean of X. Show work and select the correct answer for full credit.

1. 60
2. 70
3. 80
4. 90

80D. Find the standard deviation of X. Show work and select the correct answer for full credit.

10. 205
11. 702
12. 411
13. 818

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