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# # 5 - Due Friday October 5 2007 11:59 PM EDT Description...

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Due: Friday, October 5, 2007 11:59 PM EDT Current Score: 30 out of 30 Question Score Submission Options Description Homework #5 deals with sample spaces, events, unions, intersections, complements, combinations, permutations, and odds. Instructions Homework #5 You are allowed four submissions. The due date is 11:59 pm Fri. Oct. 5. 1. 2/2 points Last Response | Show Details All Responses Notes Shoppers can pay for their purchases with cash, a credit card, or a debit card. Suppose that the proprietor of a shop determines that 60% of her customers use a credit card, 30% pay with cash, and the rest use a debit card. a. What is the probability that a customer does not pay with cash? (Express your answer as a decimal number, not a percent). .7 .70 b. What is the probability that a customer pays in cash or with a debit card? (Express your answer as a decimal number, not a percent). .4 .40 2. 2/2 points Last Response | Show Details All Responses Notes You have torn a tendon and are facing surgery to repair it. The surgeon explains the risks to you: the probability of infection in such operations is 0.04 , the probability the repair fails is 0.17 , and the probability of both infection and failure is 0.01 . What is the probability that the operation succeeds and is free

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from infection? (Draw a Venn diagram) 0.8 0.8 3. 4/4 points Last Response | Show Details All Responses Notes Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard. Suppose that P(A) = .5, P(B) = .4, and = .25. Question 1 . Compute the probability that the selected student has at least one of the two types of cards. .65 .65 Question 2 . What is the probability that the selected student has neither type of credit card? .35 .35 Question 3 .Calculate the probability that the selected student has a Visa card but not a MasterCard, that is, calculate (Draw a picture) .25 .25 4. 2/2 points Last Response | Show Details All Responses Notes A certain factory operates three different shifts. Over the last year, 200 accidents have occurred at the factory. Some of these can be attributed at least in part to unsafe working conditions, whereas the others are unrelated to working conditions. The accompanying table gives the percentage of accidents falling in each type of accident-shift category. Unsafe Conditions Unrelated to Conditions Day Shift 10% 35%
Swing Shift 8% 20% Night Shift 5% 22% Suppose one of the 200 accident reports is randomly selected from a file of reports, and the shift and type of accident are determined. Question 1 . What is the probability that the selected accident was attributed to unsafe conditions? (Express your answer as a decimal between 0 and 1, not a percent between 0 and 100). .23 .23 Question 2 . What is the probability that the selected accident did not occur on the day shift? (Express your answer as a decimal between 0 and 1, not a percent between 0 and 100).

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