Question

Determine the value c so that each of the following
functions can serve as a probability distribution of
the discrete random variable
X:(a)
f(x) =c(x2+ 4), for x= 0,1,2,3;
(b)f(x) =c(choose x from2)(choose 3 from 3-x) for x= 0,1,2.

Answer 1

since it is discrete we need to think about the sum thing
it it was continuous we would look at an integral thing
so I think if I remember correctly we need to find c such that
\[\sum_{i=0}^{3}c(x^2+4)=1\]

Answer 2

that is for problem a
problem b is a similar setup

Answer 3

do you know how to do that

Answer 4

thank you for part a, I got the point