SOLUTION: Determine the value of c so that the function f(x) = c(x2 + 4) for x=O, 1 ,2,3 can serve as a probability distribution of the discrete random variable X.

Algebra ->  Probability-and-statistics -> SOLUTION: Determine the value of c so that the function f(x) = c(x2 + 4) for x=O, 1 ,2,3 can serve as a probability distribution of the discrete random variable X.      Log On


   

Question 842968: Determine the value of c so that the function f(x) = c(x2 + 4) for x=O, 1 ,2,3 can serve
as a probability distribution of the discrete random variable X.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you mean x%5E2? Use the caret x^2.
f%280%29=c%280%2B4%29=4c
f%281%29=c%281%2B4%29=5c
f%282%29=c%284%2B4%29=8c
f%283%29=c%289%2B4%29=13c
The sum of the f values has to equal 1.
4c%2B5c%2B8c%2B13c=1
30c=1
c=1%2F30