Here is the first part
To find the dessity function, differenciate the distribution function.
provided that x>0
f(x) = 0 otherwise.
To find the mean of x, do the integral:
can you post as much as you can do?
Suppose that a random variableX has distribution function
1-(1+x)exp(-x) - (x > 0)
0 - (x <0)
(a) Find the density function ofX.
(b) Find the mean and variance of X.
Could anyone please go through this in steps please. I know the theory but havn't seen a practical example. Thanks alot!
I've got up to that point before. I managed to get same answer as you for part a)
but my answer for part b) always seems over complicated. I get a lot of complicated integrating and with the answer i get, it's always equal to 0.
I'm not sure what i'm doing wrong.