Question

A discrete random variable, X, has three possible results with the following probabilities: Pr [X = 1] = 1/6 Pr [X = 2] = 1/3 Pr [X = 3] = 1/2 No other results can occur. (a) Sketch a graph of the probability function. (b) What is the mean or expected value of this random variable? (c) What are the variance and standard deviation of this random variable?

          A discrete random variable, X, has three possible results with the following probabilities:
Pr [X = 1] = 1/6
Pr [X = 2] = 1/3
Pr [X = 3] = 1/2
No other results can occur.
(a) Sketch a graph of the probability function.
(b) What is the mean or expected value of this random variable?
(c) What are the variance and standard deviation of this random variable?

A discrete random variable, X, has three possible results with the following probabilities:
Pr [X = 1] = 1/6
Pr [X = 2] = 1/3
Pr [X = 3] = 1/2
No other results can occur.
(a) Sketch a graph of the probability function.
(b) What is the mean or expected value of this random variable?
(c) What are the variance and standard deviation of this random variable?

Added by Lonnie C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Anna D.

02/19/2022

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Step 1: Calculate the expected value of the random variable X. Show more…

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A discrete random variable, X, has three possible results with the following probabilities: Pr [X = 1] = 1/6 Pr [X = 2] = 1/3 Pr [X = 3] = 1/2 No other results can occur: (a) Sketch a graph of the probability function. (b) What is the mean or expected value of this random variable? (c) What are the variance and standard deviation of this random variable?