Let X Uniform (a, b). The PDF of X is a constant k for a <
Question:
Let X ∼ Uniform
(a, b). The PDF of X is a constant k for a < x < b:
fX(x) = k, for a < x < b.
a. Use integration to show that k =
1 b−a
.
b. Using integration where necessary, show that the CDF of X is FX(x) = P(X ≤ x) =
0, if x ≤ a, x−a b−a
, if a < x < b, 1, if x ≥ b.
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Related Book For 
Mathematics And Statistics For Science
ISBN: 9783031053177
1st Edition
Authors: James Sneyd, Rachel M. Fewster, Duncan McGillivray
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