imo class 12 probability

A random variable X takes values 0, 1, 2, 3 with P(X=x) = c(4−x). The value of constant c is:

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A random variable X takes values 0, 1, 2, 3 with P(X=x) = c(4−x). The value of constant c is:

  • A. 1/4
  • B. 1/10
  • C. 1/6
  • D. 1/8

Answer: B) 1/10

Explanation: Sum P(x) = c(4) + c(3) + c(2) + c(1) = 10c = 1. Thus, c = 1/10.

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