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ECO 329-The average number of customers served by The Copy

01 / 10 / 2021 Projects

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ECO 329-The average number of customers served by The Copy

1. The average number of customers served by The Copy Shop during a typical morning (9am to noon) is 12. One morning, The Copy Shop has to close for 15 minutes. What is the probability that no customers will arrive during this 15 minute period? X = number of customersX ~ negative binomialX ~ PoissonX ~ hypergeometricX ~ binomial2. You are the manager of The Copy Shop. For your big copy machine, the probability a copy of a document will have a defect is 0.1. (“A defect” means one or more defects.) What is the probability that the 7th copy will be the first one with a defect? X = number of the copy that is the first one with a defectX ~ negative binomialX ~ PoissonX ~ hypergeometricX ~ binomial3. A customer has placed an order with The Copy Shop to make 20 copies of a document. The probability of a copy having a defect is 0.1. What is the probability that none of the customer’s copies will have a defect? X = number of copies with a defectX ~ negative binomialX ~ PoissonX ~ hypergeometricX ~ binomial4. The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective copies in your order, so you leaf through the first ten (which are a randomly chosen subset). If there are 2 defective copies among the 20, what is the probability that you will encounter neither of the defective copies among the 10 you examine? X = number of copies with a defectX ~ negative binomialX ~ PoissonX ~ hypergeometricX ~ binomial5. The Copy Shop runs 1000 copy jobs per week. The probability of their copy machine jamming on any one job is 0.002. What is the probability that The Copy Shop can get through a week with no jams? X = number of jamsX ~ negative binomial (incorrect)X ~ PoissonX ~ hypergeometricX ~ binomial6. Three friends are employees of The Copy Shop—three out of ten employees. These friends don’t want to work Friday of ACL, but they don’t want to ask for time off. The Copy Shop chooses two employees randomly, to work that day. What is the probability that all three friends will get to go to ACL together? X = number of the friends who have to workX ~ uniformX ~ PoissonX ~ hypergeometricX ~ binomial7. The Copy Shop bids for 10 large copy jobs. The probability it will get any one of these copy jobs is 0.2. These jobs are for a diverse set of businesses and so they are independent. If The Copy Shop gets all of these jobs, it will have a hard time getting the work done. What is the probability it will get all ten jobs? X = number of jobs The Copy Shop getsX ~ negative binomialX ~ Poisson (incorrect)X ~ hypergeometricX ~ binomial



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