Suppose that the continuous random variable X has cumulative distribution function given by F(x)= 0, if x < sqrt(2); x2-2, if sqrt(2) <= x <= sqrt(3); 1, if sqrt(3) <= x Find the probability density function of X.

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Suppose that the continuous random variable X has cumulative distribution function given by

F(x)= 0, if x < sqrt(2); x2-2, if sqrt(2) <= x <= sqrt(3); 1, if sqrt(3) <= x

Find the probability density function of X.

Expert Solution
Step 1

Given that,

X is a continuous random variable.

X has a cumulative distribution function Fx.

Fx is given as:

Fx=0              if x<2=x2-2      if  2x3=1              if  3x

Need to obtain: The probability density function of X.

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