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MHT CET202020 Oct 2020Evening ShiftMathematicsProbabilityActual

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

Options

  1. A119 128
  2. B29 128
  3. C238 728
  4. D119 228

Correct answer

A. 119 128

Step-by-step solution

We have n =8, p = 1 2 q = 1 2 To find P (| X -4| 2) X =2,3,4,5,6 Hence required probability array l = 8 2 ( 1 2 )⁶ ( 1 2 )²+ 8 3 ( 1 2 )⁵ ( 1 2 )³+ 8 4 ( 1 2 )⁴ ( 1 2 )⁴+ 8 5 ( 1 2 )³ ( 1 2 )⁵+ 8 6 ( 1 2 )² ( 1 2 )⁶ = ( 1 2 )⁸ [ 8 2 + 8 3 + 8 4 + 8 5 + 8 6 ] = 1 256 [28+56+70+56+28]= 238 256 = 119 128 array

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