Quick Start Company makes 12-volt car batteries. After many
years of product testing, the company knows that the average life
of a Quick Start battery is normally distributed, with a mean of
44.6 months and a standard deviation of 7.7 months.
(a) If Quick Start guarantees a full refund on any battery that
fails within the 36-month period after purchase, what percentage of
its batteries will the company expect to replace? (Round your
answer to two decimal places.)
__________%
(b) If Quick Start does not want to make refunds for more than 11%
of its batteries under the full-refund guarantee policy, for how
long should the company guarantee the batteries (to the nearest
month)?
_________ months
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