Question: 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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