D4.4

Post excel formulas for each question together with the results. (SEE ATTACHMENT FOR QUESTIONS)

TEST SELF 5.16 In Example 5.4 D on page 176, you and two friends decided to go to Wendy's. Now, suppose that instead you go to Burger King, which recently filled approximately 82.3% of orders correctly. What is the probability that a. all three orders will be filled correctly? b. none of the three will be filled correctly? c. at least two of the three will be filled correctly? d. What are the mean and standard deviation of the binomial distribution used in (a) through (c)? Interpret these values. TEST SELF 5.22 The quality control manager of Marilyn's Cookies is inspecting a batch of chocolate-chip cookies that has just been baked. If the production process is in control, the mean number of chocolate-chip parts per cookie is 6.0. What is the probability that in any particular cookie being inspected a. fewer than five chocolate-chip parts will be found? b. exactly five chocolate-chip parts will be found? c. five or more chocolate-chip parts will be found? d. either four or five chocolate-chip parts will be found? SELF EST 6.8 Toby's Trucking Company determined that the distance traveled per truck per year is normally distributed, with a mean of 50 thousand miles and a standard deviation of 12 thousand miles. a. What proportion of trucks can be expected to travel between 34 and 50 thousand miles in a year? b. What percentage of trucks can be expected to travel either less than 30 or more than 60 thousand miles in a year? c. How many miles will be traveled by at least eighty percent of the trucks? d. What are your answers to (a) through (c) if the standard deviation is 10 thousand miles? SELF TEST 6.24 The time between arrivals of customers at a bank during the noon-to-1 P.M. hour has a uniform distribution between 0 to 120 seconds. What is the probability that the time between the arrival of two customers will be a. less than 20 seconds? b. between 10 and 30 seconds? c. more than 35 seconds? d. What are the mean and standard deviation of the time between arrivals