Assertion (A): No binomial distribution has mean 5 and variance 6.
Reason (R): The variance $npq$ is less than the mean $np$ , because $q < 1$ .

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Variance 6 with mean 5 would need $q = \frac{6}{5} > 1$ , which no probability can be. A is true.
R is exactly that reason, so R explains A.

Concept: The variance is less than the mean
Typical timeTypical: 90 s
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The rule this testsMean and variance of a binomial distribution

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Assertion (A): No binomial distribution has mean 5 and variance 6.Reason (R): The variance npqnpqnpq is less than the mean npnpnp, because q<1q < 1q<1.

Explanation

Assertion (A): No binomial distribution has mean 5 and variance 6.
Reason (R): The variance $npq$ is less than the mean $np$ , because $q < 1$ .