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Quick Start Company makes 12-volt car batteries. From historical data, the company knows that the life...

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Question

Basic Math

Quick Start Company makes 12-volt car batteries. From historicaldata, the company knows that the life of such a battery is anormally distributed random variable with a mean life of 44 monthsand a standard deviation of 1010 months.
(a) What percentage of Quick Start 12-volt batteries will lastbetween 32 months and 53 months?


(b) If Quick Start does not want to make refunds for more than 10%of its batteries under a full-guarantee policy, how long should thecompany guarantee the 12-volt batteries?

months
(c) Seventy-five 12-volt batteries are randomly selected n=75. Whatis the probability that the mean lifetime of the batteries in thissample will be between 42 and 43 months?

(Input answer to four decimal places)

Answer & Explanation Solved by verified expert
4.4 Ratings (938 Votes)
Mean life of battery 44 monthsstandard deviation of battery 10 monthsa Here if x is the lifespan of a random batteryPr32 month x 53 month    See Answer
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