Batteries 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 45 months and a standard deviation of 8 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? (b) (Inverse Normal Distribution) If Quick Start does not want to make refunds for more than 10% of its batteries under the full-refund guarantee the batteries (to the nearest month)?
Batteries 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 45 months and a standard deviation of 8 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? (b) (Inverse Normal Distribution) If Quick Start does not want to make refunds for more than 10% of its batteries under the full-refund guarantee the batteries (to the nearest month)?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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3. Batteries 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
months and a standard deviation of 8 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?
(b) (Inverse Normal Distribution) If Quick Start does not want to make refunds for more than 10% of its
batteries under the full-refund guarantee the batteries (to the nearest month)?
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