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32. Binomial Distribution
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Q32 of 62 Page 1337

Bring out the fallacy, if any, in the following statement:

‘The mean of a binomial distribution is 6 and its variance is 9’


Variance can not be greater than mean as then, q wll be greater than 1, which is not possible.


As, np = 6 and npq = 9


q = 3/2 …(not possible)


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30

In a binomial distribution, the sum and the product of the mean and the variance are (25/3) and (50/3) respectively. Find the distribution.

31

Obtain the binomial distribution whose mean is 10 and standard deviation is .

1

Mark (√) against the correct answer in each of the following:

If A and B are mutually exclusive events such that P(A) = 0.4, P(B) =x and P(A ∪ B) = 0.5, then x = ?


2

Mark (√) against the correct answer in each of the following:

If A and B are independent events such that P(A) = 0.4, P(B) = x and P(A ∪ B) = 0.5, then x = ?


Questions · 62
32. Binomial Distribution
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