Question
Problem 1 A large company that must hire a new president prepares a final list of seven candidates, all of whom are equally qualified. Three
Problem 1
A large company that must hire a new president prepares a final list of seven candidates, all of whom are equally qualified. Three of these candidates are members of a minority group. To avoid bias in the selection of the candidate, the company decides to select the president by lottery.
- What is the probability one of the minority candidates is hired?
- Which method of probability did you use to make this estimate? Explain
Problem 2
Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift.
Amount of Tip | Number |
$0 up to $ 20 | 200 |
20 up to 50 | 100 |
50 up to 100 | 75 |
100 up to 200 | 75 |
200 or more | 50 |
Total | 500 |
- What is the probability of a tip of $200 or more?
- Are the categories "$0 up to $20," "$20 up to $50," and so on considered mutually exclusive?
- If the probabilities associated with each outcome were totaled, what would that total be?
- What is the probability of a tip of up to $50?
- What is the probability of a tip of less than $200?
Problem 3
There are 100 employees at Kiddie Carts International. Fifty-two of the employees are production workers, 43 are supervisors, 4 are secretaries, and the remaining employee is the president. Suppose an employee is selected:
- What is the probability the selected employee is a production worker?
- What is the probability the selected employee is either a production worker or a supervisor?
- Refer to part (2). Are these events mutually exclusive?
- What is the probability the selected employee is neither a production worker nor a supervisor?
Problem 4
In a management trainee program at Claremont Enterprises, 60% of the trainees are female and 40% male. Ninety percent of the females attended college, and 70% of the males attended college.
- A management trainee is selected at random. What is the probability that the person selected is a female who did not attend college? Use the table in part 2 to determine your answers.
- Create and post the Joint Probability Table.
- Are gender and attending college independent? Why?Explain
- Do the joint probabilities total 1.00? Why?
The following is an example using different data:
http://lectures.mhhe.com/connect/0077416724/guided_examples/Chapter05/LGE05-49.mp4
Problem 5
Thirty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: (Hint: Review the compliment rule)
- What is the probability all three of the selected homes have a security system?
- What is the probability none of the three selected homes have a security system?
- What is the probability at least one of the selected homes has a security system?
- Did you assume the events to be dependent or independent?
Problem 6
The board of directors of Saner Automatic Door Company consists of 12 members, 5 of whom are women. A new policy and procedures manual is to be written for the company. A committee of 3 is randomly selected from the board to do the writing. (Hint: Conditional Probability)
- What is the probability that all members of the committee are men?
- What is the probability that at least 1 member of the committee is a woman? (Hint: Review the compliment rule)
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