MCQOPTIONS
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MCQOPTIONS
This section includes 18 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Binomial Distribution is a ___________ |
| A. | Continuous distribution |
| B. | Discrete distribution |
| C. | Irregular distribution |
| D. | Not a Probability distribution |
| Answer» C. Irregular distribution | |
| 2. |
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) |
| Answer» B. nCn (0.5)n | |
| 3. |
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 |
| Answer» C. stays as it is | |
| 4. |
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’ |
| Answer» D. Any value of ‘n’ | |
| 5. |
In a Binomial Distribution, the mean and variance are equal. |
| A. | True |
| B. | False |
| Answer» C. | |
| 6. |
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. | \(\sqrt{np}\) |
| B. | \(\sqrt{pq}\) |
| C. | (np)2 |
| D. | \(\sqrt{npq}\) |
| Answer» E. | |
| 7. |
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 |
| Answer» C. P(X = x) = xCn qx p(n-x) | |
| 8. |
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 |
| Answer» C. np2q | |
| 9. |
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) |
| Answer» B. n | |
| 10. |
BINOMIAL_DISTRIBUTION_IS_A?$ |
| A. | Continuous distribution |
| B. | Discrete distribution |
| C. | Irregular distribution |
| D. | Not a Probability distribution |
| Answer» C. Irregular distribution | |
| 11. |
In a Binomial Distribution, if p = q, then P(X = x) is given b? |
| A. | <sup>n</sup>C<sub>x</sub> (0.5)<sup>n</sup> |
| B. | <sup>n</sup>C<sub>n</sub> (0.5)<sup>n</sup> |
| C. | <sup>n</sup>C<sub>x</sub> p<sup>(n-x)</sup> |
| D. | <sup>n</sup>C<sub>n</sub> p<sup>(n-x)</sup> |
| Answer» B. <sup>n</sup>C<sub>n</sub> (0.5)<sup>n</sup> | |
| 12. |
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 |
| Answer» C. stays as it is | |
| 13. |
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’ |
| Answer» D. Any value of ‚Äö√Ñ√∂‚àö√ë‚àö‚â§n‚Äö√Ñ√∂‚àö√ë‚àö¬• | |
| 14. |
In a Binomial Distribution, the mean and variance are equal |
| A. | True |
| B. | False |
| Answer» C. | |
| 15. |
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)<sup><sup>1</sup>‚ÅÑ<sub>2</sub></sup> |
| B. | (pq)<sup><sup>1</sup>‚ÅÑ<sub>2</sub></sup> |
| C. | (np)<sup>2</sup> |
| D. | (npq)<sup><sup>1</sup>‚ÅÑ<sub>2</sub></sup> |
| Answer» E. | |
| 16. |
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) = <sup>n</sup>C<sub>x</sub> p<sup>x</sup> q<sup>x</sup> |
| B. | P(X = x) = <sup>n</sup>C<sub>x</sub> p<sup>x</sup> q<sup>(n-x)</sup> |
| C. | P(X = x) = <sup>x</sup>C<sub>n</sub> q<sup>x</sup> p<sup>(n-x)</sup> |
| D. | P(x = x) = <sup>x</sup>C<sub>n</sub> p<sup>n</sup> q<sup>x</sup> |
| Answer» C. P(X = x) = <sup>x</sup>C<sub>n</sub> q<sup>x</sup> p<sup>(n-x)</sup> | |
| 17. |
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. | np<sup>2</sup>q |
| D. | npq<sup>2</sup> |
| Answer» C. np<sup>2</sup>q | |
| 18. |
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) |
| Answer» B. n | |