- #1

- 201

- 0

I am taking an "introduction to probability" class and there is a question (related to calculus) that the professor is not going to go over it.

Here is the question:

but the function is not defined at x=0.

and it's not right continuous nor left continuous, and it has right and left limits, correct?

OR I don't get the question.

Can somebody tell me what I need to do here or lead me to the correct way ??

Thanks in advance,

Roni.

Here is the question:

Well, if we look at 'a', I was trying to find the1. For a random variable X, the function F defined by

F(x) = P(X <= x),−inf < x < inf

is called the cumulative distribution function of X. A property of every distribution function F is that

it is right continuous with left limits.

For the following functions, determine if they are right continuous and/or have left limits at the

indicated values. (A “yes” or “no” answer is insufficient. Justify your answers or no credit will be

given.)

(a) at x = 0 and x = 1 for G(x) = |x|/x .

(b) at x = 0 and x = 1 for H(x) = arctan(x).

**limit when x->0+**and**limit when x->0-**. I am getting -1 and 1but the function is not defined at x=0.

and it's not right continuous nor left continuous, and it has right and left limits, correct?

OR I don't get the question.

Can somebody tell me what I need to do here or lead me to the correct way ??

Thanks in advance,

Roni.

Last edited: