Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
Advertisement Remove all ads

# If the Mean of a Binomial Distribution is 20 and Its Standard Deviation is 4, Find P. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

If the mean of a binomial distribution is 20 and its standard deviation is 4, find p.

Advertisement Remove all ads

#### Solution

$\text{ Standard deviation of the binomial distribution} = 4$
$\text{ Variance } = \left( \text{ Standard deviation }\right)^2$
$\text{ Variance, i.e. npq }= 16$
$\text{ Mean } = np = 20$
$\Rightarrow q = \frac{16}{20} = \frac{4}{5}$
$\text{ and } p = 1 - q = \frac{1}{5}$

Concept: Bernoulli Trials and Binomial Distribution
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 12 Maths
Chapter 33 Binomial Distribution
Very Short Answers | Q 4 | Page 27

#### Video TutorialsVIEW ALL 

Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?