View Full Version : does between include or exclude
10-30-2006, 08:43 PM
Hi I'm given a stats question that asks Z is between 1 and 2 (make it simple) does that include 1 and 2?
10-30-2006, 10:08 PM
Yes, assume that it includes 1 and 2.
10-31-2006, 02:44 AM
Thank you, it's the simple things sometimes.
11-01-2006, 04:48 PM
I am assuming that you are dealing with continous variables. That is the numbers on the real line not discrete steps.
The reason that Z is between 1 and 2 includes 1 and 2 is as follows:
There is an infinite number of points on the number line between and including 1 and 2. Probability is the number of success events divided by the total number of events. So the probability of exactly 1 is one event divided by infinity = 0 and the probability of exactly 2 is 1 over infinity = 0.
You can add these probabilities so p(1<= z <= 2) = p(z=1) + p(1< z < 2) + p(z=2) = 0 + p(1< z < 2) + 0 = p(1< z < 2)
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