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AP EAMCET20228 Jul 2022Evening ShiftMathematicsProbabilityActual

In a Binomial distribution, if p=q and n 4 , then 2^n P(X=5)=

Options

  1. A5
  2. B^n C ₂
  3. C10
  4. D^n C₅

Correct answer

D. ^n C₅

Step-by-step solution

Given, p=q aligned & p+q=1 & p=q= 1 2 aligned Now, 2^n P(X=5) aligned & =2^n ^n C₅(P)^ n-5 (q)^5=2^n ^n C₅ ( 1 2 )^ n-5 ( 1 2 )^5 & =2^n ^n C₅ ( 1 2 )^n= ^n C₅ aligned

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