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A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals...

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Question

Basic Math

A parabolic satellite dish reflects signals to the dish’s focalpoint. An antenna designer analyzed signals transmitted to asatellite dish and obtained the probability density function

f(x)=cæ1- 1 x2o?for0

e?ø

dish surface to a reflection point at which a signal arrives.Determine the following:

  1. Value of c that makes f (x) a valid probability densityfunction

  2. ?(? < 0.4

  3. ?(0.1

  4. ?(?)

  5. ?(?)

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