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A company makes a certain device. We are interested in the lifetime of the device. It is estimated that around 2% of the devices are
A company makes a certain device. We are interested in the lifetime of the device. It is estimated that around 2% of the devices are defective from the start so they have a lifetime of 0 years. If a device is not defective, then the lifetime of the device is exponentially distributed with a parameter =2years. Let X be the lifetime of a randomly chosen device.
- Find the generalized PDF ofX
- FindP(X1)
- FindP(X>2|X1)
- Find EXandVar(X)
please answer all the parts
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