a) Cars passing through a roadside service station have a 75% chance of fillingup on petrol or diesel, whereas the other 25% just stopover for food,refreshments and other conveniences. A total of 130 cars passed through theservice station in the past day. Using the normal approximation to thebinomial distribution with continuity correction, find the probability that, ofthese 120 cars, more than 90 but at most 110 filled up at the service station.b) A shop-packer earns R 16.00 per hour at supermarket and he is told that only5% of all workers in the shop make a higher wage than his. If the wage isassumed to be normally distributed with a standard deviation R5.00 per hour,find the mean wage for the shop-packing grade per hour.c) From historical studies carried out on dogs, it has been established that themean longevity of a dog is 13.41 years with a standard deviation of 2,36 years.In a recent study, a random sample of 64 dogs to has a mean longevity of 13.2years. The sample information is to be used to test if the historical informationcould still be a valid today. Find the p – value of the test statistic of test thehypotheses; H,: u = 15.41 vs H2: µ # 15.41, and state your conclusion at5% significance level.

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a) Cars passing through a roadside service station have a 75% chance of filling up on petrol or diesel, whereas the other 25% just stopover for food, refreshments and other conveniences. A total of 130 cars passed through the service station in the past day. Using the normal approximation to the binomial distribution with continuity correction, find the probability that, of these 120 cars, more than 90 but at most 110 filled up at the service station. b) A shop-packer earns R 16.00 per hour at supermarket and he is told that only

a) Cars passing through a roadside service station have a 75% chance of filling up on petrol or diesel, whereas the other 25% just stopover for food, refreshments and other conveniences. A total of 130 cars passed through the service station in the past day. Using the normal approximation to the binomial distribution with continuity correction, find the probability that, of these 120 cars, more than 90 but at most 110 filled up at the service station. b) A shop-packer earns R 16.00 per hour at supermarket and he is told that only

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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