STA 2014 Week 8 Individual Work Solution Correct Answers Statistics STA 2014 Week 8 Individual Work 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. Objective: Interpret probability models for random variables . 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: (a) Verify that this is a discrete probability distribution. (c) Compute and interpret the mean of the random variable X. (d) Compute the standard deviation of the random variable X . (e) What is the probability that eight people are waiting in line for lunch? Section 6.2 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. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 8 of them started smoking before 21 years of age. (c) Find and interpret the probability that fewer than 8 of them started smoking before 21 years of age. (d) Find and interpret the probability that at least 8 of them started smoking before 21 years of age.