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The probability density function of a continuous random variable X is f(x) ={ C (4-x) , -1 less than or = x less than or

The probability density function of a continuous random variable X is

f(x) ={ C (4-x) , -1 less than or = x less than or = 2. 0 , otherwise

Find the

  1. [12 pts] value of c and the mean value of X
  2. [13 pts] cumulative distribution function of X

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