continuous prob. distribution

[denian]

i really dont know how to ue the Latex. it doesnt work although i try it for many times.

so, im new to this chapter. maybe this question is easy to be solved, but i cant get it.

a continuous random variable X has cumulative distribution as attached.
the question is what is the value of alpha.
i try doing like this but it doesnt give any answer though.

F(-1) = 0 = (alpha)(-1)+(alpha)

what is the working so that i can get the answer.

[Guybrush Threepwood]

Originally posted by denian
it doesnt work although i try it for many times.


blasphemy!!!! [6)]

ok, if f(x) is a probability distribution I guess what matters the most is that:
\int_D f(x)dx = 1
where D is the interval where f is defined (you didn't mentioned it in your question....)

[denian]

but that is a cumulative distribution.
i copy the whole thing from the question.

do i need to change it to probability density function first, then continue to work on it.

[Guybrush Threepwood]

oh....
then alpha is 1/3 because as I remember f(\infty) = 1
and also the function is continuous....

[denian]

ok. thank you