Test Index

Theoretical Distribution

Question : 116 of 118

Marks: +1, -0

n=48

. Then SD

Solution:

Concept:

For a binomial distribution, standard deviation

= \sqrt{npq}

, where

q = 1-p

Explanation:

Given

n=48

Without

p

, standard deviation cannot be uniquely determined.

However, among the given options, only

3

yields a valid

p

npq = 9

⇒

pq = \frac{9}{48} = \frac{3}{16}

⇒

p = \frac{1}{4}

\frac{3}{4}

, which are possible.

The other options give impossible

pq

values (exceed

0.25

Answer:

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