Question: Please provide a detailed solution. A company makes a certain device. We are interested in the lifetime of the device. It is estimated that around

Please provide a detailed solution. A company makes a certain device.

Please provide a detailed solution.

We are interested in the lifetime of the device. It is estimated

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/l = 2 years. Let X be the lifetime of a randomly chosen device. Find the generalized PDF ofX. Find P(X z 1). Find P(X > 2|X 21). Find EX and Var(X). P-PP'P

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