Finding c from probability density function?
probability density function f(x) = cx^2, for x = 0 to 3.
what is c?
Finding c from probability density function?
I believe that if the prob. of the event happening from 0 to 3 is one then c times the integral of x^2 from 0 to 3 needs to equal one.
So,,,, the integral of x^2 from 0 to 3 is 9. Then c must be 1/9.
Its been a while but thats how I would do it.
Reply:for f to be a pdf it must integrate to 1 over the region
3
∫ f(x) dx =1
0
c/3 * (3 ^3 - 0 ^ 3) = 1
c = 1/9
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