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Basic probability problems

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A sample of 2,000 licensed drivers revealed the following number of speeding violations.

Number of Violations Number of Drivers
0 1,910
1 46
2 18
3 12
4 9
5 or more 5
Total 2,000

What is the experiment?
List one possible event?
What is the probability that a particular drive had exactly two speeding violations?
What concept of probability does this illustrate.

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

1. What is the probability of selecting a female student?
2. What is the probability of selecting a finance or accounting major?
3. What is the probability of selecting a female or an accounting major? Which rule of addition did you apply?
4. Are gender and major independent? Why?
5. What is the probability of selecting an accounting major, given that the person selected is a male?
6. 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?

See attached file for full problem description.

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Solution Summary

The solution gives step by method to solve two problems in probability. The first problem deals with number of speeding violations and second problem deals with selection of student based on their gender and major.

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Basic Probability Questions

I need some step-by-step help for the following three basic problems.

1. A group of 8 professors and 5 administrators must select a team of 6 people from the group. They decide to select the team members randomly by drawing names from a hat. What is the probability that the selected team will consist of equal numbers of professors and administrators (3 of each)?

2. If you roll a single die 120 times, approximately how many times should you expect the number 5 to come up? Is the answer 1/6th of the time or 20 times?

3. In a certain craps game at a casino, if you place a bet on the "4", and a 4 comes up on a roll of the two dice before a 7 comes up, the payout odds are 9 to 5. Convert these odds to the player's win probability.

A jar contains 2 orange jellybeans, 6 red jellybeans, 6 green jellybeans and 4 yellow jellybeans. You pick a jellybean without looking.

a). What is the probability that it is orange?

b). What is the probability that it is orange, given it is NOT red?

c). What is the probability of picking yellow or green?

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