A four-sided (tetrahedral) die has a different number 1, 2, 3 or 4 affixed to each face. Or y given roll, each of the four numbers is equally likely to occur (face down). An experiment sists of rolling the die twice and recording the two values obtained in order. Random variable represents the lesser of the two values, random variable Y represents the first value minus e second.

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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just b c and d please

8 A four-sided (tetrahedral) die has a different number 1, 2, 3 or 4 affixed to each face. On
any given roll, each of the four numbers is equally likely to occur (face down). An experiment
consists of rolling the die twice and recording the two values obtained in order. Random variable
X represents the lesser of the two values, random variable Y represents the first value minus
the second.
(a) Construct the sample space for the experiment.
(b) Construct the induced sample space for (X, Y).
(c) Construct the probability distributions for X and Y.
(d) Obtain ux, µY, 0X, 0y and Cov(X, Y) = oxy.
Transcribed Image Text:8 A four-sided (tetrahedral) die has a different number 1, 2, 3 or 4 affixed to each face. On any given roll, each of the four numbers is equally likely to occur (face down). An experiment consists of rolling the die twice and recording the two values obtained in order. Random variable X represents the lesser of the two values, random variable Y represents the first value minus the second. (a) Construct the sample space for the experiment. (b) Construct the induced sample space for (X, Y). (c) Construct the probability distributions for X and Y. (d) Obtain ux, µY, 0X, 0y and Cov(X, Y) = oxy.
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