The lifetime of batteries is Exponential with mean 6. Batteries are sold for $100 each. If a battery lasts less than 2 years, the manufacturer will pay the purchaser the pro rata share of the purchase price. For example if the battery lasts only 1.5 years, the manufacturer will pay the purchaser (100)(2 – 1.5)/2 = 25. What is the expected amount paid by the manufacturer per battery sold? %D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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The lifetime of batteries is Exponential with mean 6. Batteries are sold for $100 each. If a battery
lasts less than 2 years, the manufacturer will pay the purchaser the pro rata share of the purchase
price. For example if the battery lasts only 1.5 years, the manufacturer will pay the purchaser
(100)(2 – 1.5)/2 = 25. What is the expected amount paid by the manufacturer per battery sold?
Transcribed Image Text:The lifetime of batteries is Exponential with mean 6. Batteries are sold for $100 each. If a battery lasts less than 2 years, the manufacturer will pay the purchaser the pro rata share of the purchase price. For example if the battery lasts only 1.5 years, the manufacturer will pay the purchaser (100)(2 – 1.5)/2 = 25. What is the expected amount paid by the manufacturer per battery sold?
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