Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
Share
Notifications

View all notifications
Advertisement

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

Login
Create free account


      Forgot password?

Question

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

     

Solution

12

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

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 RD Sharma Solution for Mathematics for Class 12 (Set of 2 Volume) (2018 (Latest))
Chapter 33: Binomial Distribution
MCQ | Q: 21 | Page no. 29
Advertisement

Video TutorialsVIEW ALL [1]

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 Concept: Bernoulli Trials and Binomial Distribution.
Advertisement
View in app×