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For a Binomial Distribution Mean is 6 and Variance is 2. Find N and P. - Mathematics and Statistics

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Question

For a binomial distribution mean is 6 and variance is 2. Find n and p.

Solution

Mean = 6, Variance = 2 But,

Mean = np and Variance = npq

∴ np = 6 and npq = 2

npq=2

(6)q=2   [∵ np=6]

q=1/3 ......(1)

p=1-1/3=2/3 [∵p=1-q]

`p=2/3`

np=6

n(2/3)=6

`n=9`

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APPEARS IN

 2014-2015 (March) (with solutions)
Question 4.8 | 2.00 marks
Solution For a Binomial Distribution Mean is 6 and Variance is 2. Find N and P. Concept: Binomial Theorem and Binomial Distribution.
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