 # Statistics Questions

Subject Mathematics General Statistics

## Question

A device has a constant failure rate of 0.7/year.
a) What is the probability of that the device will fail during the second year of operation?
b) If upon failure the device is immediately replaced, that there will be more than one failure in 3 years of operation.

## Solution Preview

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The failure rate tells us what is the probability of failure of the device, i.e. the time rate of change of the probability of failure. It is 0.7/year, meaning there is a 70% chance the device will fail after one year. The probability of failure in the year Y is calculated as:

F(Y)=1-R(Y)...

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