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MHT CET202313 May 2023Evening ShiftMathematicsProbabilityActual

If the sum of the mean and the variance of a Binomial distribution for 5 trials is 1.8 , then the value of p is

Options

  1. A0.4
  2. B0.8
  3. C0.18
  4. D0.2

Correct answer

D. 0.2

Step-by-step solution

According to the given condition, mean + variance =1.8 aligned & n p+n p q=1.8 & 5 p+5 p q=1.8 & 5 p+5 p(1-p)=1.8 & 5 p+5 p-5 p^2=1.8 & 5 p^2-10 p+1.8=0 & 50 p^2-100 p+18=0 & (10 p-2)(5 p-9)=0 & p= 2 10 =0.2 or p= 9 5 =1.8 aligned Since 0 < p < 1 , p =0.2

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