The random variable X with probably density function is defined as fx= x for less than 1 and greater than equal to 0.  2-x for less than 2 and greater than equal to 1. 0 for elsewhere. 1) Find moment generating function of random variable X. 2) Find mean of the distribution with the help of moment generation function. 3) Find second,  third, fourth central moment of the distribution.

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The random variable X with probably density function is defined as fx= x for less than 1 and greater than equal to 0.  2-x for less than 2 and greater than equal to 1. 0 for elsewhere.

1) Find moment generating function of random variable X.

2) Find mean of the distribution with the help of moment generation function.

  • 3) Find second,  third, fourth central moment of the distribution.

 

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