Suppose a die is rolled twice. What are the possible values that the following random variables (Z) can take on? (a) Z = The minimum value to appear in the two rolls. (b) Z = The sum of the two rolls. (c) Z = The value of the first roll minus the value of the second roll. ii) If the die above is assumed fair, built the probability distribution tables by calculating the probabilities associated with the random variables in (a)–(c).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose a die is rolled twice.
What are the possible values that the following random variables (Z) can take on?
(a) Z = The minimum value to appear in the two rolls.
(b) Z = The sum of the two rolls.
(c) Z = The value of the first roll minus the value of the second roll.
ii)
If the die above is assumed fair, built the probability distribution tables by calculating the probabilities associated with the random variables in (a)–(c).

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