5. The operating life of an Arctic Air portable cooler is normally distributed with mean 75 months and standard deviation 9 months. The manufacturer will replace any cooler that breaks during the guarantee period.
(a) If the guarantee period is for 64 months, what fraction of the coolers will the manufacturer have to replace?
(b) How long should the guarantee run if the manufacturer does not want to replace more than 2.5% of the coolers?
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