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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Definitions:

Net Assets

The total assets of an entity minus its total liabilities, indicating the entity's financial health and value.

Purchase Consideration

The total value transferred by an acquirer to obtain control of an acquired entity, which can include cash, securities, or other assets.

Net Fair Value

The amount that an asset could be bought or sold for in a current transaction between willing parties, minus any selling costs.

Unrecorded Goodwill

Goodwill that has arisen through operations but has not been formalized in the financial statements because it has not been acquired through a business combination.