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MHT CET202014 Oct 2020Evening ShiftMathematicsProbabilityActual

If X B(4, p) and 2 P(X=3)=3 P(X=2) then value of p is

Options

  1. A9 13
  2. B4 13
  3. C1 13
  4. D12 13

Correct answer

A. 9 13

Step-by-step solution

Given X B(4, p) and 2 P(X=3)=3 P(X=2)2 [ 4 3 p³ q¹ ]=3 [ 4 2 p² q² ]2 4 p³ q=3 6 p² q² p= 9 q 4 p= 9 4 (1-p) p= 9 4 - 9 4 p (1+ 9 4 ) p= 9 4 13 p 4 = 9 4 p= 9 13

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