Let X equal the larger outcome when a pair of fair four-sided dice is rolled. The pmf of

Chapter 2, Problem 2.3-8

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QUESTION:

Let X equal the larger outcome when a pair of fair four-sided dice is rolled. The pmf of X is

               \(f(x)=\frac{2x-1}{16}\),     x = 1, 2, 3, 4.

Find the mean, variance, and standard deviation of X.

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QUESTION:

Let X equal the larger outcome when a pair of fair four-sided dice is rolled. The pmf of X is

               \(f(x)=\frac{2x-1}{16}\),     x = 1, 2, 3, 4.

Find the mean, variance, and standard deviation of X.

ANSWER:

Step 1 of 4

Given:

The variable X is equal the larger outcome when a pair of fair four-sided dice is rolled.

The probability mass function is given as,

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