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MHT CET20243 May 2024Morning ShiftMathematicsProbabilityActual

Let X B (6, 1 2 ) , then P [|x-4| 2] is

Options

  1. A115 128
  2. B63 64
  3. C57 64
  4. D7 64

Correct answer

C. 57 64

Step-by-step solution

X ~B (6, 1 2 ) Here, n=6, p= 1 2 , q= 1 2 Consider, |x-4| 2 array ll & -2 x-4 2 & 2 x 6 & P [|x-4| 2]= P (2 x 6) & =1-[ P ( X =0)+ P ( X =1)] & =1- [ ^6 C ₀ p ^0 q ^6+ ^6 C ₁ p ^1 q ^5 ] & =1- [ 1 2^6 + 6 2^6 ] & =1- 7 64 = 57 64 array

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