Exponential Distribution using Excel
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The useful life of an electrical component is exponentially distributed with a mean of 2,500 hours.
a. what is the probability the circuit will last more than 3,000 hours
b. what is the probability the circuit will last between 2,500 and 2,750 hours.
c. what is the probability the circuit will fail within the first 2,000 hours.
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Solution Summary
Exponential Probability calculations using Excel worksheet function EXPONDIST.
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The answers are in the attached Excel file
The useful life of an electrical component is exponentially distributed with a mean of 2,500 hours.
a. what is the probability the circuit will last more than 3,000 hours
We first need to calculate the probability of circuit failing between 0 and 3,000 hours
x= 3,000 hours
mean= 2,500 hours
lambda= 0.0004 = 1 / 2500
cumulative = 1
Probability of failure between 0 and 3,000 hours= 0.6988 = EXPONDIST(3000 , 0.0004 , ...
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