MCQOPTIONS
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MCQOPTIONS
This section includes 12 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 evaluation probability of measurement of length of a part being a certain value, discrete probability distributions can be used. |
| A. | True |
| B. | False |
| Answer» C. | |
| 2. |
\( \left(a \atop b\right)\) is expanded as __________a) \(\frac{a!}{b!}\) b) \(\frac{a!}{b!(a-b)!}\) c) \(\frac{a!}{b!(b- |
| A. | \(\frac{a!}{b!}\) b) \(\frac{a!}{b!(a- |
| B. | \(\frac{a!}{b!(a-b)!}\) |
| C. | \(\frac{a!}{b!(b-a)!}\) |
| D. | \(\frac{b!}{a!}\) |
| Answer» C. \(\frac{a!}{b!(b-a)!}\) | |
| 3. |
The equation of variance, i.e. σ2=\(\frac{r(1-p)}{p^2}\) is true for _____ |
| A. | Hyper geometric distribution |
| B. | Pascal Distribution |
| C. | Normal distribution |
| D. | Binomial distribution |
| Answer» C. Normal distribution | |
| 4. |
Which of the expression represents the mean of Pascal distribution? |
| A. | r/p |
| B. | np |
| C. | nD/N |
| D. | np(1-p) |
| Answer» B. np | |
| 5. |
Lognormal distributions are a part of discrete distributions. |
| A. | True |
| B. | False |
| Answer» C. | |
| 6. |
When r=1 in a Pascal distribution, what is this case called? |
| A. | Negative binomial distribution |
| B. | Positive binomial distribution |
| C. | Hyper geometric distribution |
| D. | Geometric distribution |
| Answer» E. | |
| 7. |
When is Pascal distribution, called negative binomial distribution? |
| A. | When r>0 but not necessarily an integer |
| B. | When r<0 but an integer |
| C. | When r>3 and an integer |
| D. | When r=0 and an integer |
| Answer» B. When r<0 but an integer | |
| 8. |
For a Pascal distribution, the probability of occurrence of a event x is given by _____ |
| A. | \(p(x)=\left(x-1 \atop r-1\right) p^x (1-p)^{x-r}\) |
| B. | \(p(x)=\left(r-1 \atop x-1\right) p^x (1-p)^{x-r}\) |
| C. | \(p(x)=\left(x-1 \atop r-1\right) p^x (1-p)^{1-r}\) |
| D. | \(p(x)=\left(x-1 \atop r-1\right) p^x (1-p)^{x-1}\) |
| Answer» B. \(p(x)=\left(r-1 \atop x-1\right) p^x (1-p)^{x-r}\) | |
| 9. |
In sample fraction defective, the ̂ symbol represents that ______ |
| A. | p ̂ is an estimate of the true value of binomial parameter p |
| B. | It is the “raised to power” operator |
| C. | It is having no significance |
| D. | It is the true value of binomial parameter p |
| Answer» B. It is the “raised to power” operator | |
| 10. |
For 9 Bernoulli trials, what will be the mean of trials when the probability of failure is 0.56? |
| A. | 5.04 |
| B. | 1.74 |
| C. | 3.96 |
| D. | 2.82 |
| Answer» D. 2.82 | |
| 11. |
For a Poisson distribution, parameter λ is having a value of 7. What is the variance for the distribution? |
| A. | 2.64 |
| B. | 2.78 |
| C. | 7 |
| D. | 14 |
| Answer» D. 14 | |
| 12. |
What will be the variance of the sample following hyper geometric distribution and having 5 items defective in 100 lot items, if 10 samples are taken without replacement? |
| A. | 0.431818 |
| B. | 0.410023 |
| C. | 0.483838 |
| D. | 0.568898 |
| Answer» B. 0.410023 | |