Question 58236This question is from textbook
: Chapter 5: A Survey of Probability Concepts ISBN : 0072868244
I respectfully seek your help in understanding the following problems I have listed. I am currently taking a Research Class that involves statistics that I do not understand in the least. I thank you for your assistance in any help you may provide!
What role or principal is used in solving the following questions:
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 the 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 d. rule of addition did you apply?
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. “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?
4. A puzzle in the newspaper presents a matching problem. The names of 10 U.S. presidents are listed in one 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?
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What role or principal is used in solving the following questions:
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 the 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?
These are counting problems involving the Basic Counting Rule, Permutations
and Combinations, and the classical definition of probability.
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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?
a. b. and c. involve the same topics as problem #1
d. Which rule of addition did you apply?
The Probability rule of addition: P(A or B) = P(A) + P(B) - P(A and B)
e. What is the probability of selecting an accounting major, given that the person selected is a male?
Conditional Probability: P(A|B)= P(A and B)/P(B)
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?
Counting Methods
3. “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?
Basic Counting Principle
4. A puzzle in the newspaper presents a matching problem. The names of 10 U.S. presidents are listed in one 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?
Counting involving Basic counting Rule and Permutations
Most Statistics 101 text books have a chapter on Probability which
covers the material involved in the problems you have listed.
Cheers,
Stan H.
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