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Question 8 The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of all auto batteries of this brand have a bell-shaped distribution. Using the empirical rule, find the percentage of auto batteries of this brand that have a life of 38 to 50 months. Round your answer to one decimal place the tolerance is +/-2%
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Solidian The lives of auto bateries have bell shaped distibutien uith mean ipe 44 months and standlod olaviatton of 3 months wle have So monhs mean life Thus S İS 2 Standaad de viakians to γ1ght of mean And Mean life - 38 months Thus 38 is2 standond deviations t eft of mean Emperical ruls stoks that oithen turo standload deviahins of tho mea n (both Reit-side and vigntslde) then a ts as ut 95% of the data. Here 3z to So is within 2. Standad deviations, of the mo an, thin about 95% of auto batleoles of this band have a i of 33 to so months

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