SOLUTION: 1. In a survey, 1,000 kids were asked if they owned a pair of tennis shoes and if they owned Nike shoes. The results showed that 7 in 10 kids owned a pair of tennis shoes, and 1 in

Question 144950: 1. In a survey, 1,000 kids were asked if they owned a pair of tennis shoes and if they owned Nike shoes. The results showed that 7 in 10 kids owned a pair of tennis shoes, and 1 in 5 kids owned Nike shoes. Of the kids surveyed that owned Nike shoes, 1 in 4 kids owned tennis shoes.

A. Find the probability that a randomly selected kid owns tennis shoes given that he or she owns Nike shoes.
B. Find the probability that a randomly selected kid owns Nike shoes and owns tennis shoes.
C. Are these two events (owning tennis shoes and owning Nike shoes) dependent or independent? Why or why not?

2. A corporation has a workforce of 3,000. 1,200 work in the finance department and 1,400 are men. Of the 1,200 that work in the finance department, 600 are men.

A. Let�s assume that the company conducts a poll to see how many employees are happy with their jobs. Employees are randomly selected. Find the probability that the selected employee is a man or an employee working in the finance department.

3. Suppose the NCAA finally decides to develop a playoff system for college football. Let�s assume that they want the top 8 teams to play and only 2 teams play on the field at the same time (naturally). How many different combinations of matches are possible between these 8 teams?

4. Through extensive research, it is known that 70% of men prefer to shop at Wal-Mart versus Target. You randomly select 5 men and ask them if they prefer to shop at Wal-Mart or Target.

A. Find the probability that exactly 3 of them prefer to shop at Wal-Mart.
B. Find the probability that fewer than 3 of them prefer to shop at Wal-Mart.
C. Find the probability that at least 3 of them prefer to shop at Wal-Mart.

5. The weight of adult male Chihuahuas is normally distributed, with a mean of 7 pounds and a standard deviation of 1.2 pounds. An adult male Chihuahua is randomly selected.

A. Find the probability that the Chihuahua �s weight is less than 5 pounds.
B. Find the probability that the Chihuahua �s weight is more than 8 pounds.
C. Find the probability that the Chihuahua �s weight is between 5 and 8 pounds.

6. Scores on the GMAT (Graduate Management Admissions Test) are normally distributed, with a mean of 620 and a standard deviation of 120. Scores can be as high as 800. To be accepted into The Ohio State University�s Executive MBA program, it is recommended that applicants score in the top 10%. What is the lowest score that you can earn and still be considered for acceptance into the program?

7. A quality control technician at The Coca-Cola Company wishes to estimate the mean number of ounces that are in the 20 ounce bottle of Diet Coke. In a random sample of 50 bottles, the mean number of ounces is found to be 20.1 ounces with a standard deviation of 0.75 ounces. Assume a normal distribution. Construct a 95% confidence interval for all 20 ounce bottles of Diet Coke. What does this mean?

8. A quality control technician at The Coca-Cola Company wishes to estimate the mean number of ounces that are in the 20 ounce bottle of Diet Coke. In a random sample of 20 bottles, the mean number of ounces is found to be 20.1 ounces with a standard deviation of 0.75 ounces. Assume a normal distribution. Construct a 95% confidence interval for all 20 ounce bottles of Diet Coke. What does this mean?

9. In a survey of 1,000 people, 540 people said they prefer Pepsi over Coca-Cola. Construct a 99% confidence interval for the proportion of people who prefer Pepsi. What does this mean?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Do you really expect someone to do your entire homework assignment for you?
RELATED QUESTIONS
A recent survey of 10th graders asked if they were employed and whether they owned a... (answered by greenestamps)

1. In a survey, 40 randomly picked people were asked if they rented or owned their own... (answered by ewatrrr)

A survey asked 31,156 homeowners how many pets they owned. The results were as follows: (answered by Boreal)

In a survey of college students, it was found that: 356 owned an iPod 293 owned a... (answered by josmiceli)

100 pet owners were asked if they own a dog or a cat. 34 of them owned a cat. 60 owned a... (answered by Boreal)

Carla and benicio work in a men's clothing store. They earn commission from each suit and (answered by TimothyLamb)

A group of people were asked if they owned a dog. 404 responded "yes", and 417 responded... (answered by ewatrrr,stanbon)

A survey of 1180 workers in a plant indicated that 620 owned houses, 680 owned cars, 445... (answered by Shin123)

In a survey of 3 comma 300 people who owned a certain type of car, 1 comma 485 said (answered by ikleyn)