Question

Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities. f (x) = (512/73) (1/8)^x, 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) =

          Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities.

f (x) = (512/73) (1/8)^x, 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) =

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$Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities. f (x) = (512/73) (1/8)^x, x = 1,2,3 Give exact answers in form of fraction. F (1) = F (2) = F (3) = (a) P (X ? 1.5) = (b) P (X ? 3) = (c) P (X > 2) = (d) P (1 < X ? 2) =$

Added by Nancy M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

06/14/2023

Step 1

F(x) is the sum of probabilities up to and including x. So, we have: F(1) = f(1) = (512/73)(1/8)^1 = \(\frac{512}{73 \cdot 8}\) = \(\frac{64}{73}\) F(2) = f(1) + f(2) = \(\frac{64}{73}\) + (512/73)(1/8)^2 = \(\frac{64}{73}\) + \(\frac{512}{73 \cdot 64}\) = Show more…

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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) = (512/73) * (1/8)^x, x = 1, 2, 3. Give exact answers in the form of fractions: F(1) = F(2) = F(3) = (a) P(X ≤ 1.5) = (b) P(X ≤ 3) = (c) P(X > 2) = (d) P(1 < X ≤ 2) =

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