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AP EAMCET202018 Sep 2020Morning ShiftMathematicsBinomial TheoremActual

The binomial distribution whose mean is 9 and whose standard deviation is ( 3 2 ) is equal to

Options

  1. A( ( 1 4 + 3 4 )¹² )
  2. B( ( 3 4 + 1 4 )¹² )
  3. C( ( 1 2 + 3 2 )¹² )
  4. D( ( 3 2 + 1 2 )¹² )

Correct answer

B. ( ( 3 4 + 1 4 )¹² )

Step-by-step solution

We know that mean (=n p=9 ) (given) and standard deviation (= n p q = 3 2 ) ( q= 1 4 ) and (p= 3 4 ) and (n=12 ) So, required binomial distribution ((p+q)^n ) (= ( 3 4 + 1 4 )¹² )

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