Test Index

Theoretical Distribution

Question : 15 of 118

Marks: +1, -0

For a binomial distribution, there may be

Solution:

Concept:

The mode of a binomial distribution depends on whether

(n+1)p

is an integer.

Explanation:

For a binomial distribution

\text{Bin}(n, p)

• If

(n+1)p

is not an integer, there is a single mode at

\lfloor (n+1)p \rfloor

• If

(n+1)p

is an integer, there are two modes at

(n+1)p

and

(n+1)p - 1

Thus, a binomial distribution may have either one mode or two modes.

Answer:

Option D: (a) or (b)

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