I'm trying to prove the four properties of the density functions.
The question goes, "Show that the properties of a density function are valid."
I have done the first one, but I am having trouble with the second one.
The second property of density functions in my books goes like this....
can anyone help?
How do I say this though.
Do I just say that represents the probability space which is 1. Therefore the area under the curve is 1.
I was trying to prove in terms of the integral result which is also . A function that extends from at a value of 0 to at a value of 1.
Is there anything in this function that would suggest that it's derivative.
I think it just dropped...does this sound like a valid.
the function that is the integral of is and if we take the values of at and , i.e. the limits, it will evaluate to 1 - 0 = 1.
Is that a valid validation?