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1. Briefly, what is probability (include in this the 3 "approaches" to probability discussed in the early part of chapter 5).

2. Please (1) work the following problems, (2) tell me what rule or principle you used to solve them and (3) then look at others' answers to check yourself and that person -- let's see if we can come to consensus on them!

1.Ninety students will graduate from Lima Shawnee High School this spring. Of the 90 students, 50 are planning to attend college. Two students are to be picked at random to carry flags at graduation.

a. What is the probability both of the selected students plan to attend college?

b. What is the probability one of the two selected students plans to attend college?

2.A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:

Major

Gender Accounting Management Finance total

Male 100 150 50 300

Female 100 50 50 200

total 200 200 100 500

a. What is the probability of selecting a female student?

b. What is the probability of selecting a finance or accounting major?

c. What is the probability of selecting a female or an accounting major? Which rule of

addition did you apply?

d. Are gender and major independent? Why?

e. What is the probability of selecting an accounting major, given that the person selected is a male?

f. Suppose two students are selected randomly to attend a lunch with the president of the

university. What is the probability that both of those selected are accounting majors?

3.Reynolds Construction Company has agreed not to erect all “look-alike” homes in a new subdivision. Five exterior designs are offered to potential home buyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways can the exterior and interior plans be offered to potential home buyers? There are 5 exterior designs and there are 3 interior designs.

4.A puzzle in the newspaper presents a matching problem. The names of 10 in one U.S. presidents are listed column, and their vice presidents are listed in random order in the second column. The puzzle asks the reader to match each president with his vice president. If you make the matches randomly, how many matches are possible? What is the probability all 10 of your matches are correct?

1. Briefly, what is probability (include in this the 3 "approaches" to probability discussed in the early part of chapter 5).

2. Please (1) work the following problems, (2) tell me what rule or principle you used to solve them and (3) then look at others' answers to check yourself and that person -- let's see if we can come to consensus on them!

1.Ninety students will graduate from Lima Shawnee High School this spring. Of the 90 students, 50 are planning to attend college. Two students are to be picked at random to carry flags at graduation.

a. What is the probability both of the selected students plan to attend college?

b. What is the probability one of the two selected students plans to attend college?

2.A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:

Major

Gender Accounting Management Finance total

Male 100 150 50 300

Female 100 50 50 200

total 200 200 100 500

a. What is the probability of selecting a female student?

b. What is the probability of selecting a finance or accounting major?

c. What is the probability of selecting a female or an accounting major? Which rule of

addition did you apply?

d. Are gender and major independent? Why?

e. What is the probability of selecting an accounting major, given that the person selected is a male?

f. Suppose two students are selected randomly to attend a lunch with the president of the

university. What is the probability that both of those selected are accounting majors?

3.Reynolds Construction Company has agreed not to erect all “look-alike” homes in a new subdivision. Five exterior designs are offered to potential home buyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways can the exterior and interior plans be offered to potential home buyers? There are 5 exterior designs and there are 3 interior designs.

4.A puzzle in the newspaper presents a matching problem. The names of 10 in one U.S. presidents are listed column, and their vice presidents are listed in random order in the second column. The puzzle asks the reader to match each president with his vice president. If you make the matches randomly, how many matches are possible? What is the probability all 10 of your matches are correct?

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