imo class 12 probability

A random variable has probability distribution P(x) = kx² for x = 1, 2, 3. The value of k is:

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A random variable has probability distribution P(x) = kx² for x = 1, 2, 3. The value of k is:

  • A. 1/14
  • B. 1/6
  • C. 1/9
  • D. 1/12

Answer: A) 1/14

Explanation: Sum = k(1²) + k(2²) + k(3²) = k(1 + 4 + 9) = 14k = 1. Therefore, k = 1/14.

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