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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

Options

  1. A5 6
  2. B5 18
  3. C1 6
  4. D7 12

Correct answer

C. 1 6

Step-by-step solution

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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