STATS Week 4 Assignment-The following contingency table summarizes the number of students at a college who...
Question;4.11HaveVisa Do Not Have Visa TotalHave MC 1,000 1,500 2,500Do Not MC 3,000 4,500 7,500Total 4,000 6,000 10,000The following contingency table summarizes the number of students at a college who have a Master card or a Visa credit card.a Find the probability that a randomly selected student(1) Has a Mastercard.(2) Has a VISA.(3) Has both credit cards.b Find the probability that a randomly selected student(1) Has a Master card or a VISA.(2) Has neither credit card.(3) Has exactly one of the two credit cards.(SHOW ALL WORK)4.19Each month a brokerage house studies various companies and rates each company?s stock as being either?low risk?or?moderate to high risk.?In a recent report, the brokerage house summarized its findings about 15 aerospace companies and 25 food retailers in the following table:Company Type Low Risk Moderate toHigh Risk Aerospace company 6 9Food retailer 15 10If we randomly select one of the total of 40 companies, finda The probability that the company?s stock is moderate to high risk given that the firm is an aerospace company.b The probability that the company?s stock is moderate to high risk given that the firm is a food retailer.c Determine if the events the firm is a food retailer and the firm?s stock is low risk are independent. Explain. (SHOW WORK)5.2Explain how the values of a discrete random variable differ from the values of a continuous random variable. (SHOW WORK)6.11Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Further-more, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes. Letting the time unit be one minute, a Write the formula for the probability curve of x. b Graph the probability curve of x. c Find P(125 x 135). d Find the probability that a randomly selected flight between the two cities will be at least five minutes late. (SHOW WORK)6.59In a bottle- filling process, the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a standard deviation of.02 oz. Bottles containing less than 15.95 oz do not meet the bottler?s quality standard. What percentage of filled bottles do not meet the standard? (SHOW WORK)
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