STA 2014-2 STA2014-2 Individual Week 8

Assignment Instructions

To complete this assignment:

1. Answer all of the questions below in the space provided.

2. Reflect on the information presented in this week’s lesson and provide an insightful response to each question.

Save and Submit to Dropbox

1. Save your work as a Microsoft Word 2010 (.docx) file that includes your name, course code, and title in the file name. For example: JaneSmith_STA2014_Week8.docx.

2. To submit your assignment, go to the Dropbox and click "Submit Assignment."

3. Click on the drop-down menu to select the Week 8: Individual Work basket in the Dropbox.

Section 6.1

20. Waiting in Line: A Wendy’s manager performed a study to determine a probability distribution for the number of people, X, waiting in line during lunch. The results were as follows:

36. Smokers: According to the American Lung Association, 90% of adult smokers started smoking before turning 21 years old. Ten smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded.

36. You Explain It! Miles per Gallon: Elena conducts an experiment in which she fills up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each fill-up. A histogram of the miles per gallon indicates that a normal distribution with a mean of 24.6 miles per gallon and a standard deviation of 3.2 miles per gallon could be used to model the gas mileage for her car.

34. Assume that the random variable X is normally distributed, with mean m = 50 and standard deviation s = 7. Find the 90^th percentile for X.

22. Smokers: According to the Information Please Almanac, 80% of adult smokers started smoking before they were 18 years old. Suppose 100 smokers 18 years old or older are randomly selected. Use the normal approximation to the binomial to: