Question: The operating life of a Sports Master fishing reel is normally distributed with mean 32 months and standard deviation of 6 months. The manufacturer will replace any Sports Master reel that malfunctions during the guarantee period.

a.) If the guarantee period is 24 months, what fraction/percentage of the reels will Sports Master have to replace?

b.) How long should the guarantee run if the manufacturer does not want to replace more than 2.8 % of the reels?

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