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In a Binomial distribution B(n, p), n=6 and 9 P(X=4)= P ( X =2) . What is p equal to?

Options

  1. A1 4
  2. B1 2
  3. C3 4
  4. D4 5

Correct answer

A. 1 4

Step-by-step solution

Since, given n =6 aligned & & 9 P ( x =4)= P ( x =2) & 9^6 C ₄ P ^4 q ^2= ^6 C ₂ P ^2 q ^4 & p ^2 q ^2 = 1 9 p q = 1 3 q =3 p aligned Since p+q=1 p= 1 4

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