In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A shipment is acceptable if at least 440 of the 500 bearings meet the specification. Assume that each shipment contains a random sample of bearings. a) What is the probability that a given shipment is acceptable? b) What is the probability that more than 285 out of 300 shipments are acceptable? c) What proportion of bearings must meet the specification in order that 99% of the shipments are acceptable?
In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A shipment is acceptable if at least 440 of the 500 bearings meet the specification. Assume that each shipment contains a random sample of bearings. a) What is the probability that a given shipment is acceptable? b) What is the probability that more than 285 out of 300 shipments are acceptable? c) What proportion of bearings must meet the specification in order that 99% of the shipments are acceptable?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A shipment is acceptable if at least 440 of the 500 bearings meet the specification. Assume that each shipment contains a random sample of bearings. a) What is the probability that a given shipment is acceptable? b) What is the probability that more than 285 out of 300 shipments are acceptable? c) What proportion of bearings must meet the specification in order that 99% of the shipments are acceptable?
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