Advertisement Remove all ads

In a Binomial Distribution, the Probability of Getting Success is 1/4 and Standard Deviation is 3. Then, Its Mean is (A) 6 (B) 8 (C) 12 (D) 10 - Mathematics

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

In a binomial distribution, the probability of getting success is 1/4 and standard deviation is 3. Then, its mean is

Options

  • 6

  • 8

  • 12

  • 10

     
Advertisement Remove all ads

Solution

12

\[p = \frac{1}{4}\]
\[ \therefore q = 1 - \frac{1}{4} = \frac{3}{4}\]
\[\text{ Standard deviation }= 3 \]
\[ \Rightarrow\text{  Variance } = 3^2 = 9\]
\[\text{ Or npq } = 9\]
\[ \Rightarrow np = \frac{9}{q}\]
\[ = \frac{36}{3}\]
\[ = 12\]
\[\text{ Therefore, the mean of the given binomial distribution is 12 } .\]

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
MCQ | Q 21 | Page 29

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×