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If the mean and the variance of a binomial variate X are 2 & 1 respectively, then the probability that X takes a value greater than or equal to one is:

Options

  1. A1 16
  2. B9 16
  3. C3 4
  4. D15 16

Correct answer

D. 15 16

Step-by-step solution

n p = 2 n p q = 1 ∴ q = 1 2 p = 1 - q = 1 2 n = 4 P X ≥ 1 = 1 -   4 C 0   1 2 4 1 2 0 1 - 1 16 = 15 16

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