SOLUTION: The random variable x is best described by a uniform probability distribution with a =100 and b=200. Find the probability that x assumes a value. I. More than 2 standard deviation

Question 1180061: The random variable x is best described by a uniform probability distribution with a =100 and b=200. Find the probability that x assumes a value.
I. More than 2 standard deviations from u
II. Less than 3 standard deviations from u
III. Within 2 standard deviation of u
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The mean is (b-a) or 150
-
the sd is (b-a)/sqrt(12)
=100/sqrt (12)
=28.867
-
more than 2 sd s from my would be probability 0, since the values would be < 100 and >200
Less than 3 sd s from mu would be probability 1.
That is the same probability for within 2 sd s of mu.
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