Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertised to last 20 years or longer, but panels made in China are failing at a higher rate. The time-to-failure of this device is usually exponentially distributed with mean 6 years. What is the probability of failure in the first 6 years?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Many electronics follow a failure rate described by an exponential probability density function (PDF).  Solar panels are advertised to last 20 years or longer, but panels made in China are failing at a higher rate.  The time-to-failure of this device is usually exponentially distributed with mean 6 years. 
What is the probability of failure in the first 6 years?

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Many electronics follow a failure rate described by an exponential probability density function (PDF).  Solar panels are advertised to last 20 years or longer, but panels made in China are failing at a higher rate.  The time-to-failure of this device is usually exponentially distributed with mean 13 years. 
What is the probability of failure in the first 10 years?   

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