Problem 7E

Suppose that the distribution of the weight of a prepackaged “1-pound bag” of carrots is N(1.18, 0.072) and the distribution of the weight of a prepackaged “3-pound bag” of carrots is N(3.22, 0.092). Selecting bags at random, find the probability that the sum of three 1-pound bags exceeds the weight of one 3-pound bag. Hint: First determine the distribution of Y, the sum of the three, and then compute P(Y > W), where W is the weight of the 3-pound bag.

Section6.1 Examples Definitions DavidHolmes STAT250 Mar10 ModelingRandomEvents:TheNormalandBinomialModels ProbabilityDistributionsAreModelsofRandomExperiments • WhatIsaProbabilityDistribution • DistinguishBetweenDiscreteandContinuousRandomVariables • UsingProbabilityDistributionstoComputeProbabilities ProbabilityDistributions Aprobabilitydistributionisanewtooltohelpuscharacterizeprobabilitiesforrandomevents. • Itdescribesrandomoutcomesinmuchthesamewayasdistributionsdiscussedin Chapter2describeda