The document discusses a continuous random variable with the probability density function f(x) = 2(1-x) for x in the interval (0,1). It seeks to find the moment generating function m(t) of the variable but expresses doubts about its existence due to challenges in performing integration by parts. The text indicates ongoing attempts to solve the problem.

1. Consider the continous random variable with probability density function
f(x) = 2(1-x) for all x an element of (0,1)
Find the M(t) = Moment generating function of X.
( I have a feeling there isn't one, as Ive been unable to get the integration by parts to work)
Solution
wait m solving...