Probability distribution in graph greater than 1: what does that mean?

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• January 21st 2009, 10:58 PM
ssadi
Probability distribution in graph greater than 1: what does that mean?
This is a question in my review exercise:
http://www.mathhelpforum.com/math-he...achmentid=9749
I noticed that at x=1, probability=2. Now what does that actually mean? I cannot concieve a probability greater than one, and I have searched my book's examples in vain. Isn't probability supposed to be always lower than or equal to one? :help:
• January 21st 2009, 11:07 PM
mr fantastic
Quote:

Originally Posted by ssadi
This is a question in my review exercise:
http://www.mathhelpforum.com/math-he...achmentid=9749
I noticed that at x=1, probability=2. Now what does that actually mean? I cannot concieve a probability greater than one, and I have searched my book's examples in vain. Isn't probability supposed to be always lower than or equal to one? :help:

Go back and review continuous random variables and probability density functions.

The fact that f(0) = 2 does NOT mean Pr(X = 0) = 2. In fact for a continuous random variables, Pr(X = a) = 0.

What gets calculated is [tex]\Pr(a \leq X \leq b)[tex], which is given by $\int_a^b f(x) \, dx$.