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Signal and systems miscellaneous

Signals and Systems

  1. Let X and Y be has stationary independent random variables uniformly distributed in the ranges (– 1, 1) and (– 2, 1) respectively. If Z = X + Y, then the probablity that Z < – 2 is—
    1. 0
    2. 1
      6
    3. 1
      3
    4. 1
      12
Correct Option: A

Given, random variable x lies in the range (– 1, 1) and y lies in the range (– 2, 1) i.e.

then P(z ≤ – 2) = 0



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