Let X frac14 U(a, b) a Show that if x curren a then P(X curren x) 0 b Show that if x b then P(X curren x) 1 c Show that if a (x a) (b a) Conclude that the cumulative distribution function of X is 0 sa r a b a x 7

Question: Let X ¼ U(a, b). a. Show that if x ¤ a then P(X ¤ x) = 0. b. Show that if x > b

Let X ˆ¼ U(a, b).
a. Show that if x ‰¤ a then P(X ‰¤ x) = 0.
b. Show that if x > b then P(X ‰¤ x) = 1.
c. Show that if a (x ˆ’ a)/(b ˆ’ a). Conclude that the cumulative function of X is

0 sa r- a b -a x 7

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