Determine the Possible Values of the Random Variable $1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36$ B)

question 30

Multiple Choice

Determine the possible values of the random variable.
-Suppose that two balanced dice are rolled. Let Y denote the product of the two numbers. What are the possible values of the random variable Y?

• A) \(1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36\)
• B) \(( 1,1 ) , ( 1,2 ) , ( 1,3 ) , ( 1,4 ) , ( 1,5 ) , ( 1,6 ) , ( 2,1 ) , ( 2,2 ) , ( 2,3 ) , ( 2,4 ) , ( 2,5 ) , ( 2,6 ) , ( 3,1 ) , ( 3,2 ) , ( 3,3 ) , ( 3\), \(4 ) , ( 3,5 ) , ( 3,6 ) , ( 4,1 ) , ( 4,2 ) , ( 4,3 ) , ( 4,4 ) , ( 4,5 ) , ( 4,6 ) , ( 5,1 ) , ( 5,2 ) , ( 5,3 ) , ( 5,4 ) , ( 5,5 ) , ( 5,6 ) , ( 6,1 )\), \(( 6,2 ) , ( 6,3 ) , ( 6,4 ) , ( 6,5 ) , ( 6,6 )\)
• C) \(0,1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36\)
• D) \(2,3,4,5,6,8,10,12,15,18,20,24,30\)

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