Is the interval (0,c)?
Note that for continuous random variables
you can use (0,c) as well as [0,c]
Just integrate and set the probability equal to 1, to find c.
suppose that X is a continuous random variable with probability density function given by
f(X) = x^2 + (2/3)x +(1/3) for <or = x <or = c
(a) what must be the value of c
assuming this value of c , do the following :-
b) plot f(x)
c) compute and plot F(x)
d)compute p(1/3 <or = X < or = 2/3 ) , E(X) , var (X)