Question: A new study by Square Trade indicates that smart-phones are 50% more likely to malfunction than simple phones over a 3-year period. Of smart-phone failures,

A new study by Square Trade indicates that smart-phones are 50% more likely to malfunction than simple phones over a 3-year period. Of smart-phone failures, 30% are related to internal components not working, and overall, there is a 31% chance of having your smart-phone fail over 3 years. Suppose that smart-phones are shipped in cartons of N = 50 phones. Before shipment n = 10 phones are selected from each carton and the carton is shipped if none of the selected phones are defective. If one or more are found to be defective, the whole carton is tested.
a. What is the probability of x, the number of defective phones related to internal components not working in the sample of n = 10 phones?
b. What is the probability that the carton will be shipped if two of the N = 50 smart-phones in the carton have defective internal components?
c. What is the probability that the carton will be shipped if it contains four defectives? Six defectives?

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a The distribution of x is actually hypergeometric with N 50 n 10 and M number of phones not work... View full answer

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