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

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### Mohammed

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## 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

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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?

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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

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## 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

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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 ___________

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 ___________

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

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.

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’

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

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

9. Binomial Distribution is a ___________

a) Continuous distribution

b) Discrete distribution

c) Irregular distribution

d) Not a Probability distribution

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## [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

## 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

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Mohammed 2 month ago

Guys, does anyone know the answer?