Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities. f(x) = (729/91)(1/9)*, x = 1,2,3 Give exact answers in form of fraction. F(1) = F(2) = F(3) = (a) P(X ≤ 1.5) = (b) P(X ≤ 3) = (c) P(X > 2) = (d) P(1 < X < 2) = i

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested
probabilities.
f(x) = (729/91)(1/9)*, x = 1,2,3
Give exact answers in form of fraction.
F(1) =
F(2)
=
F(3) =
(a) P(X ≤ 1.5) =
(b) P(X ≤ 3) =
(c) P(X > 2) =
(d) P(1 < X < 2) =
i
Transcribed Image Text:Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities. f(x) = (729/91)(1/9)*, x = 1,2,3 Give exact answers in form of fraction. F(1) = F(2) = F(3) = (a) P(X ≤ 1.5) = (b) P(X ≤ 3) = (c) P(X > 2) = (d) P(1 < X < 2) = i
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