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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):
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