Question

Consider a CDF given below: F(x) = 0 for X< -3 = 0.2 -3<=X<-1 = 0.4...

Consider a CDF given below:

F(x) = 0 for X< -3

= 0.2 -3<=X<-1

= 0.4 for -1<=X<2

= 0.6 for 2 <= X < 4

= 0.8 for 4 <=X<6

=1 for X>6

  1. Find the PMF of X.
  2. Find the expected value of X.
  3. Find the second moment of X and the second central moment up to 2 decimal places

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