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MHT CET20227 Aug 2022Evening ShiftMathematicsProbabilityActual

If X B (8, 1 2 ) , then P(|x-4| 2)=

Options

  1. A119 128
  2. B117 128
  3. C1 n
  4. D116 128

Correct answer

A. 119 128

Step-by-step solution

X B (8, 1 2 ) n=8 and p= 1 2 i.e., q= 1 2 Now p(|x-4| 2)=p(-2 x-4 2)=p(2 x 6) aligned & i.e., p(x=2, x=3, x=4, x=5, x=6) & =1- ^8 C₀ ( 1 2 )^0 ( 1 2 )^8- ^8 C₁ ( 1 2 )^1 ( 1 2 )^7- ^8 C₇ ( 1 2 )^7 ( 1 2 )^1- ^8 C₈ ( 1 2 )^8 ( 1 2 )^0 & =1- ( 1 2 )^8 1+8+8+1 & =1- 18 256 =1- 9 128 = 119 128 aligned

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