SOLUTION: The following probability density function is given: f(x)= {c(5x-x^2) if 0 < x < 5 and 0 otherwise What is the value of c?

Algebra ->  Probability-and-statistics -> SOLUTION: The following probability density function is given: f(x)= {c(5x-x^2) if 0 < x < 5 and 0 otherwise What is the value of c?       Log On


   

Question 1157071: The following probability density function is given:
f(x)= {c(5x-x^2)
if 0 < x < 5
and 0 otherwise
What is the value of c?
Answer by ikleyn(52831) About Me  (Show Source):
You can put this solution on YOUR website!
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The product of "c" by the integral of the function  (5x-x^2) from 0 to 5 must be equal to 1.


From this condition, find "c"