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AP EAMCET20227 Jul 2022Morning ShiftMathematicsProbabilityActual

The maximum value of the variance of Binomial distribution with parameters n and p is

Options

  1. An 2
  2. Bn 4
  3. Cn p(1-p)
  4. D2 n

Correct answer

B. n 4

Step-by-step solution

Mean = =n p Variance ( )^2=n p q aligned & ^2 < & n p q < n p q < 1 aligned For maximum variance p=q= 1 2 _ =n ( 1 2 ) ( 1 2 )= n 4

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