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MHT CET202120 Sep 2021Morning ShiftMathematicsProbabilityActual

If X B(4, p) and P(X=0)= 16 81 , then P(X=4)=

Options

  1. A1 81
  2. B1 16
  3. C1 8
  4. D1 27

Correct answer

A. 1 81

Step-by-step solution

We have n =4 and P ( x =0)= 16 81 aligned & 16 81 = ^4 C ₀( p )^4( q )^0 & 16 81 =( p )^4 P = 2 3 q = 1 3 & P ( x =4)= ^4 C ₄( p )^0( q )^4=(1)(1) ( 1 3 )^4= 1 81 aligned

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