When X U(75,125). Show that a) P(75 X 100) = 0.5. b) P(80

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When X ∼ U(75,125). Show that
a) P(75 ≤ X ≤ 100) = 0.5.
b) P(80 ≤ X ≤ 111) = 0.62.
c) P(X ≥ 112.5) = 0.25.
d) P(X < 60) = 0.
e) E(X) = 100.
f) Var(X) = 208.33.

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