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This section includes 9 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. |
A lot follows hyper geometric distribution for defects found in its items. It contains 100 items out of which, 5 are defective. If 10 items are selected without replacement in a random order, what is the probability of finding 0 defective items? |
| A. | 0.5837521 |
| B. | 0.4162479 |
| C. | 0.5708992 |
| D. | 0.4522222 |
| Answer» B. 0.4162479 | |
| 2. |
For a experiment following binomial distribution, the mean is 54.3, and the number of independent trials is 121. What will be the probability of failure? |
| A. | 0.55123 |
| B. | 0.51000 |
| C. | 0.44877 |
| D. | 0.45700 |
| Answer» B. 0.51000 | |
| 3. |
For a company, which uses Poisson distributions to describe all the defects in its product, which has the parameter =4, what will be the probability of finding the selected product from a sample that will have 2 or less than 2 defects? |
| A. | 0.2381 |
| B. | 0.2561 |
| C. | 0.2104 |
| D. | 0.3310 |
| Answer» B. 0.2561 | |
| 4. |
The mean of a Poisson distribution is _____ |
| A. | Greater than |
| B. | Lesser than |
| C. | Equal to |
| D. | Having no relation with |
| Answer» D. Having no relation with | |
| 5. |
Poisson distribution is given by ____ |
| A. | (p(x) = frac{e^{- } ^x}{x!} ) |
| B. | (p(x) = frac{e^{-x} ^x}{x} ) |
| C. | (p(x) = frac{e^{- } ^x}{x} ) |
| D. | (p(x) = frac{e^{- } ^x}{ !} ) |
| Answer» B. (p(x) = frac{e^{-x} ^x}{x} ) | |
| 6. |
The binomial distribution is given by _____ |
| A. | (p(x) = left(n atop x right) p^x (1-p)^{n-x} ) |
| B. | (p(x) = left(x atop n right) p^{n-x} (1-p)^x ) |
| C. | (p(x) = left(x atop n right) p^x (1-p)^{n-x} ) |
| D. | (p(x) = left(n atop x right) p^{n-x} (1-p)^x ) |
| Answer» B. (p(x) = left(x atop n right) p^{n-x} (1-p)^x ) | |
| 7. |
The independent trials which have either a success or a failure as an outcome, are called ____ |
| A. | Normal trials |
| B. | Bernoulli trials |
| C. | Poisson s trials |
| D. | Hyper geometric trials |
| Answer» C. Poisson s trials | |
| 8. |
Probability function for hyper geometric probability distribution is _____ |
| A. | (p(x) = frac{ left(D atop x right) left(N-D atop n-x right)}{ left(N atop n right)} ) |
| B. | (p(x) = frac{ left(D atop x right) left(N-D atop n-x right)}{ left(n atop N right)} ) |
| C. | (p(x) = frac{ left(x atop D right) left(N-D atop n-x right)}{ left(N atop n right)} ) |
| D. | (p(x) = frac{ left(D atop x right) left(n-x atop N-D right)}{ left(N atop n right)} ) |
| Answer» B. (p(x) = frac{ left(D atop x right) left(N-D atop n-x right)}{ left(n atop N right)} ) | |
| 9. |
Which of these is not a discrete probability distribution? |
| A. | Hyper geometric Distribution |
| B. | Binomial Distribution |
| C. | Normal Distribution |
| D. | Poisson Distribution |
| Answer» D. Poisson Distribution | |