- #1
EngnrMatt
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Homework Statement
Let X be a random variable with probability density function:
0.048(5x-x2) IF 0 < x < 5
0 otherwise
Find the cumulative distribution function of X
a) If x ≤ 0, then F(x) =
b) If 0 < x < 5, then F(x) =
c) If x ≥ 5, then F(x) =
Homework Equations
Not quite sure
The Attempt at a Solution
The answer to a) is 0. The answer to c) is 1.
I am making the reasonable assumption that a) is 0 because there is no probability at that point, and that c) is 1 because after that, all probability has been "used" so to speak. However, integrating the function between 0 and 5 does not work. It seems as if my professor totally skipped over teaching us this particular type of problem. Statistics usually makes a good deal of sense to me, but this is pretty foreign.