Question

Let the random variable X denote the time (hours) for which a part is waiting for the beginning of the inspection process since its arrival at the inspection station, and let Y denote the time (hours) until the inspection process is completed since its arrival at the inspection station. Since both X and Y measure the time since the arrival of the part at the inspection station, always X < Y is true. The joint probability density function for X and Y is given as follows:

???(?,?) = ??−?−??, where ? < ? < ? < ∞.
1.) What is the Value of k?

2.) What is the covariance of (X,Y)?

Answer 1

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