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AP EAMCET2007MathematicsProbability

The mean and standard deviation of a binomial variate X are 4 and 3 respectively. Then P(X 1) is equal to

Options

  1. A1- ( 1 4 )¹⁶
  2. B1- ( 3 4 )¹⁶
  3. C1- ( 2 3 )¹⁶
  4. D1- ( 1 3 )¹⁶

Correct answer

B. 1- ( 3 4 )¹⁶

Step-by-step solution

Mean =n p=4 , variance =n q p=3 On solving, we get q= 3 4 , n=16, p= 1 4 Now, aligned p(X 1) & =1-p(X=0)=1- ^n C₀ p^0 q^ n-0 & =1- ( 3 4 )¹⁶ aligned

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