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 =2=2 years. Let X be the lifetime of a randomly chosen device. a. Find the generalized PDF of X b. Find P(X 1) c. Find P(X > 2|X 1) d. Find EX and Var(X)