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Consider the following statement:
"The mean of a binomial distribution is 3 and variance is $4 . "$ Which of the following is correct regarding this statement?
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"The mean of a binomial distribution is 3 and variance is $4 . "$ Which of the following is correct regarding this statement?
Solution:
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Verified Answer
The correct answer is:
It is never true
Given, that $\mathrm{np}=3$ and $\mathrm{npq}=4$ where $\mathrm{p}$ is the probability of success in one trial and $\mathrm{q}$ is the probability of failure and $\mathrm{n}$ is the number of trials
$\Rightarrow q=\frac{4}{3}$
and this is not possible. Thus, the given statement is never true.
$\Rightarrow q=\frac{4}{3}$
and this is not possible. Thus, the given statement is never true.
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