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Consider a six-sided cube-shape die that is not fair. Let X be the random variable that represents the outcome of a roll of the die. The pmf of the random variable X is as follows: P(X = 1) = P(X = 3) = P(X = 4) = P(X = 5) = P(X = 6) = 0.1 & P(X = 2) = 0.5 Determine the variance of the random variable X. Show your work. Use a calculator to simplify your answer.

Consider a six-sided cube-shape die that is not fair. Let X be the random variable that represents the outcome of a roll of the die. The pmf of the random variable X is as follows: P(X = 1) = P(X = 3) = P(X = 4) = P(X = 5) = P(X = 6) = 0.1 & P(X = 2) = 0.5 Determine the variance of the random variable X. Show your work. Use a calculator to simplify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6) Consider a six-sided cube-shape die that is not fair. Let X be the random variable that represents the outcome of a roll of the die. The pmf of the random variable X is as follows: P(X = 1) = P(X = 3) = P(X = 4) = P(X = 5) = P(X = 6) = 0.1 & P(X = 2) = 0.5 Determine the variance of the random variable X. Show your work. Use a calculator to simplify your answer.
Transcribed Image Text:6) Consider a six-sided cube-shape die that is not fair. Let X be the random variable that represents the outcome of a roll of the die. The pmf of the random variable X is as follows: P(X = 1) = P(X = 3) = P(X = 4) = P(X = 5) = P(X = 6) = 0.1 & P(X = 2) = 0.5 Determine the variance of the random variable X. Show your work. Use a calculator to simplify your answer.
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