Math Help Please?

2018-07-28 9:58 am
Suppose that 20 points are selected at random and independently from the interval (−3, 2). This means that each point is selected from a uniform distribution with parameters (−3, 2).

A) What's the expected value of the first point selected?
B) What's the variance of the first point selected?
C) How many of the points can be expected to be less than 1?

回答 (1)

2018-07-28 8:30 pm
✔ 最佳答案
(A) -0.5, that is, the midpoint of the interval.
(B) The standard deviation of a uniform distribution is (b - a)/sqrt(12);
in your problem this comes out to about 1.443
(C) (1 - (-3))/(2 - (-3)) = 80%, so the answer is 16 of the 20 points.


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