- #1

- 442

- 0

I am currently studying Probability Density Functions and I am having a hard time wrapping my head around something.

So, from what I have read, P(X=c), i.e. probability that the random variable X takes on any specific outcome, is equal to 0. Yet, the probability X takes on any outcome between a and b is not 0. Isn't the probability that X takes on any value between a and b equal to the probability X takes on each individual outcome between a and b added together? In other words, would not that be equal to summing several probabilities = 0?

I hope I made my doubt somewhat clear,

Thank you in advance!