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In a binomial distribution, if the mean is 6 and the standard deviation is 2 , then what are the values of the parameters n and p respectively?

Options

  1. A18 and 1 3
  2. B9 and 1 3
  3. C18 and 2 3
  4. D9 and 2 3

Correct answer

D. 9 and 2 3

Step-by-step solution

Given that, mean x =n p=6 and S.D = npq = 2 npq =2 Divide (ii) by (i), we get npq np = 2 6 q = 1 3 We know that p =1- q =1- 1 3 = 2 3 P = 2 3 Put the value of p in (i), we get aligned & n 2 3 =6 & n =9 aligned

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