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fXYx,y=ke-3x+23 y The joint distribution of two random variables are given above. Let X denote the...

  1. fXYx,y=ke-3x+23 y

The joint distribution of two random variables are given above. Let X denote the interarrival time for packages at a network device and let Y denote the service time of a package in the device.

  1. [10pts] what is the expected interarrival time to this network element. (hint calculate k first)
  2. [5pts] What is the covariance of X and Y
  3. [10pts] If a random variable Z is to be defined as Z=X+Y, What is the expected value of Z
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