Question

Take 1 white, 1 red and 1 green dice. Roll three dice together. Let Xw be...

Take 1 white, 1 red and 1 green dice. Roll three dice together. Let Xw be the outcome of white dice, Xr be the outcome of red dice and Xg be the outcome of green dice.

Let random variable Y = Xw + 2Xr - Xg

Repeat the experiment 25 times and find prob distribution of Y. Also find its mean and variance.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Following table shows the 25 outcomes and values of Y:

Following table shows the pdf of Y

Following table shows the calculations for mean and variance:

Mean:

Variance:

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