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The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is

Options

  1. A37 256
  2. B219 256
  3. C128 256
  4. D28 256

Correct answer

D. 28 256

Step-by-step solution

Given that n p =4, n p q =2 q =1 / 2 p =1 / 2, n =8 p ( x =2)= ^8 C ₂ ( 1 2 )^2 ( 1 2 )^6= 28 256

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