Question

Suppose the manufacturer of a particular lubrication oil claims that the lifetime of the oil is...

Suppose the manufacturer of a particular lubrication oil claims that the lifetime of the oil is exponentially-distributed with a mean of 10,000 hours.

1.) The probability that the oil will last at least 26 weeks (4368 hours).

2.) The expectation of the remaining life if the oil has been in use for 13 weeks (2184 hours).

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

1.

The following information is provided:

The provided mean is β=10000.

We need to compute . Therefore, the following is obtained:

which completes the calculation.

2.

The exponential distribution is memoryless i.e. the past has no bearing on its future behavior.

The expectation of the remaining life if the oil has been in use for 13 weeks would be the expectation of the lifetime of the oil = 10000 hours.

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

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