Continuous prob. distribution (1 Viewer)

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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.
 

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

ok, if f(x) is a probability distribution I guess what matters the most is that:
[tex]\int_D f(x)dx = 1[/tex]
where D is the interval where f is defined (you didn't mentioned it in your question....)
 
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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.
 
oh....
then alpha is 1/3 because as I remember [itex]f(\infty) = 1[/itex]
and also the function is continuous....
 
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ok. thank you
 
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