MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Statistical Quality Control knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For a variable distributed log-normally with =6, =1.2; what is the probability that the variable exceeds a value of 500? |
| A. | 0.4290 |
| B. | 0.5710 |
| C. | 0.4990 |
| D. | 0.4937 |
| Answer» B. 0.5710 | |
| 2. |
For an exponential distribution, what is the probability that the value of the exponential random variable with parameter =3.2; will be having a value higher than 0.2353? |
| A. | 0.5290 |
| B. | 0.4710 |
| C. | 0.2213 |
| D. | 0.3452 |
| Answer» C. 0.2213 | |
| 3. |
If the shape parameter of the gamma distribution is twice the scale parameter, what will be the value of the mean of the distribution? |
| A. | 1.5 |
| B. | 2 |
| C. | 4 |
| D. | 1 |
| Answer» C. 4 | |
| 4. |
The relationship between the mean and the standard deviation of the gamma distribution is given as _____ |
| A. | ( frac{ mu}{ sigma} = sqrt{r} ) |
| B. | ( frac{ mu}{ sigma} = r ) |
| C. | ( frac{ mu}{ sigma} = r^2 ) |
| D. | ( frac{ mu}{ sigma} = sqrt[3]{r} ) |
| Answer» B. ( frac{ mu}{ sigma} = r ) | |
| 5. |
Exponential distribution is a special case of gamma distribution. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 6. |
The mean of the gamma distribution is given by _________ |
| A. | =1/ |
| B. | =r/ |
| C. | =r<sup>2</sup>/ |
| D. | =1/r |
| Answer» C. =r<sup>2</sup>/ | |
| 7. |
The mean of the exponential distribution used in reliability engineering is used as mean time to failure. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 8. |
The exponential distribution is used in reliability engineering as a model of the time to failure of a system. The parameter is called _____ in this application. |
| A. | Failure rate |
| B. | MTF |
| C. | Hazard rate |
| D. | MTBF |
| Answer» B. MTF | |
| 9. |
(1-e- a) is the cumulative ______ distribution. |
| A. | Gamma |
| B. | Normal |
| C. | Lognormal |
| D. | Exponential |
| Answer» E. | |
| 10. |
The variance of lognormal distribution is given by ____ |
| A. | <sup>2</sup> = e<sup>2 +w</sup> ( (e^{w^{2}} )-1) |
| B. | <sup>2</sup> = e<sup>2 +w<sup>2</sup></sup> (e<sup>w</sup>-1) |
| C. | <sup>2</sup> = e<sup>2 +w<sup>2</sup></sup> ( (e^{w^{2}} )-1) |
| D. | <sup>2</sup> = e<sup>2 +w<sup>2</sup></sup> ( (e^{w^{2}} )-2) |
| Answer» D. <sup>2</sup> = e<sup>2 +w<sup>2</sup></sup> ( (e^{w^{2}} )-2) | |
| 11. |
The display of possible outcomes of an event with their corresponding probabilities is called ____________ |
| A. | Probability Plot |
| B. | Contingency table |
| C. | Bayesian Table |
| D. | Frequency Plot |
| Answer» B. Contingency table | |