# in a binomial distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given by ___________

### Mohammed

Guys, does anyone know the answer?

get in a binomial distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given by ___________ from screen.

## In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer?

For a discrete probability function, the variance is given byWhere µ is the mean, substitute P(x)=nCxpxq(n-x)in the above equation and put µ = np to obtainV = npq

JEE Question > In a Binomial Distribution, if p, q and n are...

In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given by

a) np b) npq c) np2q d) npq2

Correct answer is option 'B'. Can you explain this answer?

### Related Test

Competition Level Test: Binomial Theorem- 3

### Answers

Balakishore Gangavarapu

Dec 24, 2019 Related

In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer?

B Upvote | 4 Reply

1 Crore+ students have signed up on EduRev. Have you?

Download as PDF

### Top Courses For JEE

Physics For JEE Chemistry for JEE

HC Verma and Irodov Solutions

DC Pandey Solutions for JEE Physics

Subject-Wise Mind Maps for Class 11 (Science)

Explore Courses Parsh Dawra Aug 02, 2019

For a discrete probability function, the variance is given by

Where µ is the mean, substitute P(x)=nCx px q(n-x) in the above equation and put µ = np to obtain

V = npq Upvote Reply

View courses related to this question

Explore JEE courses Explore JEE courses

View courses related to this question

Share with a friend Answer this doubt

### Similar JEE Doubts

### IN BINOMIAL DISTRIBUTION, IF P, Q AND N ARE PROBABILITY OF SUCCESS, FAILURE...MORE

### THE MEAN AND VARIANCE OF A BINOMIAL DISTRIBUTION ARE 4 AND 3 RESPECTIVELY, ...MORE

2 Answers

### THE MEAN AND THE VARIANCE OF A BINOMIAL DISTRIBUTION ARE 4 AND 2 RESPECTIVE...MORE

1 Answer

### THE MEAN AND VARIANCE OF A RANDOM VARIABLE X HAVING BINOMIAL DISTRIBUTION A...MORE

1 Answer

### A RANDOM VARIABLE X TAKING VALUES 0, 1, 2, ..., N IS SAID TO HAVE A BINOMIA...MORE

1 Answer

Question Description

In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer? for JEE 2022 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer?.

Solutions for In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.

Here you can find the meaning of In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given bya)npb)npqc)np2qd)npq2Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.

## Binomial Distribution Questions and Answers

This set of Probability and Statistics Multiple Choice Questions & Answers (MCQs) focuses on “Binomial Distribution”. 1. In a Binomial Distribution, if ‘n’ is the number of trials and ‘p’ is the probability of success, then the mean value is given by ___________ a) np b) n c) p d) np(1-p) 2. In a Binomial ... Read more

## Probability and Statistics Questions and Answers – Binomial Distribution

« Prev Next »

This set of Probability and Statistics Multiple Choice Questions & Answers (MCQs) focuses on “Binomial Distribution”.

1. In a Binomial Distribution, if ‘n’ is the number of trials and ‘p’ is the probability of success, then the mean value is given by ___________

a) np b) n c) p d) np(1-p) View Answer

2. In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given by ___________

a) np b) npq c) np2q d) npq2 View Answer

3. If ‘X’ is a random variable, taking values ‘x’, probability of success and failure being ‘p’ and ‘q’ respectively and ‘n’ trials being conducted, then what is the probability that ‘X’ takes values ‘x’? Use Binomial Distribution

a) P(X = x) = nCx px qx

b) P(X = x) = nCx px q(n-x)

c) P(X = x) = xCn qx p(n-x)

d) P(x = x) = xCn pn qx

View Answer

Subscribe Now: Probability and Statistics Newsletter | Important Subjects Newsletters

advertisement

4. If ‘p’, ‘q’ and ‘n’ are probability pf success, failure and number of trials respectively in a Binomial Distribution, what is its Standard Deviation?

a) np − − √ b) pq − − √ c) (np)2 d) npq − − − √ View Answer

5. In a Binomial Distribution, the mean and variance are equal.

a) True b) False View Answer

Check this: Engineering Mathematics MCQ | Numerical Methods MCQ

6. It is suitable to use Binomial Distribution only for ___________

a) Large values of ‘n’

b) Fractional values of ‘n’

c) Small values of ‘n’

d) Any value of ‘n’ View Answer

7. For larger values of ‘n’, Binomial Distribution ___________

a) loses its discreteness

b) tends to Poisson Distribution

c) stays as it is

d) gives oscillatory values

View Answer advertisement

8. In a Binomial Distribution, if p = q, then P(X = x) is given by?

a) nCx (0.5)n b) nCn (0.5)n c) nCx p(n-x) d) nCn p(n-x) View Answer

9. Binomial Distribution is a ___________

a) Continuous distribution

b) Discrete distribution

c) Irregular distribution

d) Not a Probability distribution

View Answer advertisement

**Sanfoundry Global Education & Learning Series – Probability and Statistics.**

To practice all areas of Probability and Statistics, here is complete set of 1000+ Multiple Choice Questions and Answers.

« Prev - Probability and Statistics Questions and Answers – Mathematical Expectation

» Next - Probability and Statistics Questions and Answers – Hypergeometric Distributions

**Related Posts:**

Apply for Probability and Statistics Internship

Practice Engineering Mathematics MCQ

Apply for 1st Year Engineering Subjects Internship

Buy Probability and Statistics Books

Practice Numerical Methods MCQ

advertisement

### Recommended Articles:

Probability and Statistics Questions and Answers – Poisson Distribution

Probability and Statistics Questions and Answers – Hypergeometric Distributions

Mathematics Questions and Answers – Bernoulli Trials and Binomial Distribution

Probability and Statistics Questions and Answers – Mean and Variance of Distribution

Probability and Statistics Questions and Answers – F-Distribution

Probability and Statistics Questions and Answers – Gamma Distribution

Probability and Statistics Questions and Answers – Exponential Distribution

Probability and Statistics Questions and Answers – Mathematical Expectation

Probability and Statistics Questions and Answers – Normal Distribution

Probability and Statistics Questions and Answers – Weibull Distribution

advertisement

**Additional Resources:**

Probability and Statistics MCQ Questions

Probability MCQ Questions

Class 12 Maths MCQ Questions

Discrete Mathematics MCQ Questions

Class 11 Maths MCQ Questions

**Popular Pages:**

Drug and Pharmaceutical Biotechnology MCQ Questions

Python Programs on Trees

Data Structures in C

Antenna MCQ Questions

Data Structures in Java

## [Solved] If 'p', 'q' and 'n' are probability pf success, failure and number...

Answer to If 'p', 'q' and 'n' are probability pf success, failure and number...

Question

Answered step-by-step

Asked by GeneralCloverReindeer14

## If 'p', 'q' and 'n' are probability pf success, failure and number...

If 'p', 'q' and 'n' are probability pf success, failure and number of trials respectively in a Binomial Distribution, what is its Standard Deviation?

√ (np)2 √np √pq √npq

For a binomial probability distribution; the probability of failure is 2/3 and variance is 40/9. The number of independent trials is _______________.

4 40 20 5/4

Hypergeometric probability of hypergeometric distribution function is given by the formula _________

h(x; N, n, k) = [kCx] [N-kCn-x] / [NCn]

h(x; N, n, k) = [kCx] [N-kCn] / [NCn]

h(x; N, n, k) = [kCx] [NCn-x] / [NCn]

h(x; N, n, k) = [kCx] [N-kCn-x] / [N-kCn]

If Mean = 4 and p = 1/3 than the value of independent trials, variance and Standard deviation is:

12, 8/3, 13/8 12, 3/13, 8/13 12, 8/3, 8/13 12, 3/8, 13/8

The p.d.f of Poisson Distribution is given by ___________

(e-µ*xµ)/x! (e-x*µx)/x! (e-µ*µx)/x! (e-µ*µx)/ µ!

Math Statistics and Probability

Guys, does anyone know the answer?