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2. Let the probability density function (pdf) of random variable X be given by:                           ...

2. Let the probability density function (pdf) of random variable X be given by:

  

                        f(x) = C (2x - x²),                         for 0< x < 2,

                        f(x) = 0,                                       otherwise

    

  1. Find the value of C.                                                                           (5points)
  2. Find cumulative probability function F(x)                                       (5points)
  3. Find P (0 < X < 1), P (1< X < 2), P (2 < X <3)                                (3points)
  4. Find the mean, : , and variance, F².                                                   (6points)
Math   Statistics-And-Probability   
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