A red die is rolled and then a green die. Let X=2(Spots on Red) + (Spots on Green) Determine the pmf for the random variable. In particular f(6)

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A red die is rolled and then a green die. Let X=2(Spots on Red) + (Spots on Green).
Determine the pmf for the random variable. In particular f(6)
Transcribed Image Text:A red die is rolled and then a green die. Let X=2(Spots on Red) + (Spots on Green). Determine the pmf for the random variable. In particular f(6)
Expert Solution
Step 1

Given that 

Let X = 2(Spots on Red) + (spots on Green)

First is Red dice and Second is Green dice 

Sample space for X = S

S={ (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) 

(8,1) (8,2) (8,3) (8,4) (8,5) (8,6) 

(10,1) (10,2) (10,3) (10,4) (10,5) (10,6) 

(12,1) (12,2) (12,3) (12,4) (12,5) (12,6) }

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