Question

The time between failures for an appliances is exponentially distributed with a mean of 25 months. What is the probability that the next failure will not occur before 32 months have elapsed? Report answer to 4 decimal places

Answer #1

Let *X* = amount of time (in months) between failures for
an appliances . The time is known to have an exponential
distribution with mean = 25 months.

*X* *~ Exp(1/25)*

*The probability density function of X is given by:*

The probability that the next failure will not occur before 32
months have elapsed i.e. **P(X>32)**

**
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**

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**Answer: 0.2780**

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