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MHT CET202311 May 2023Morning ShiftMathematicsProbabilityActual

A binomial random variable X satisfies 9.p ( X =4)= p ( X =2) when n =6 . Then p is equal to

Options

  1. A1 4
  2. B1 2
  3. C1 8
  4. D1 5

Correct answer

A. 1 4

Step-by-step solution

aligned & 9. p(X=4)=p(X=2) and n=6 & 9 ^6 C₄ p^4 q^2= ^6 C₂ p^2 q^4 & 9 p^2=q^2 & 3 p=q & 3 p=1-p & p= 1 4 aligned

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