The probability distribution of a random variable X is P X = X 12 : X = 1,2 , 3,4 , 5,6 0 : otherwise . Then, the conditional probability P 3 2 X 7 2 X 2 is

Question

The probability distribution of a random variable X is P X = X 12 : X = 1,2 , 3,4 , 5,6 0 : otherwise . Then, the conditional probability P 3 2 X 7 2 X > 2 is, 5 6, 5 18, 1 6, 7 12

MARKS App · Accepted Answer

Let, A = 3 2 X 7 2 , B = X > 2 A ∩ B = 2 X 7 2 P A B = P A ∩ B P B = P 3 P 3 + P 4 + P 5 + P 6 = 3 12 3 12 + 4 12 + 5 12 + 6 12 = 1 6

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