MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Discrete probability distribution depends on the properties of ___________ |
| A. | data |
| B. | machine |
| C. | discrete variables |
| D. | probability function |
| Answer» B. machine | |
| 2. |
The annual salaries of workers in a large manufacturing factory are normally distributed with a mean of Rs. 48,000 and a standard deviation of Rs. 1500. Find the probability of workers who earn between Rs. 35,000 and Rs. 52,000. |
| A. | 64% |
| B. | 76.2% |
| C. | 42.1% |
| D. | 20% |
| Answer» D. 20% | |
| 3. |
The scores on an admission test are normally distributed with a mean of 640 and a standard deviation of 105.7. A student wants to be admitted to this university. He takes the test and scores 755. What is the probability of him to be admitted to this university? |
| A. | 65.9% |
| B. | 84.6% |
| C. | 40.9% |
| D. | 54%. |
| Answer» C. 40.9% | |
| 4. |
The time taken to assemble a machine in a certain plant is a random variable having a normal distribution of 32 hours and a standard deviation of 3.6 hours. What is the probability that a machine can be assembled at this plant in less than 25.4 hours? |
| A. | 0.61 |
| B. | 0.674 |
| C. | 0.298 |
| D. | 1.823 |
| Answer» D. 1.823 | |
| 5. |
Let us say that X is a normally distributed variable with mean(μ) of 43 and standard deviation (σ) of 6.4. Determine the probability of X<32. |
| A. | 0.341 |
| B. | 0.962 |
| C. | 6.231 |
| D. | 0.44 |
| Answer» B. 0.962 | |
| 6. |
The speeds of a number of bicycles have a normal distribution model with a mean of 83 km/hr and a standard deviation of 9.4 km/hr. Find the probability that a bicycle picked at random is travelling at more than 95 km/hr? |
| A. | 0.1587 |
| B. | 0.38 |
| C. | 0.49 |
| D. | 0/278 |
| Answer» C. 0.49 | |
| 7. |
The length of life of an instrument produced by a machine has a normal distribution with a mean of 9.4 months and a standard deviation of 3.2 months. What is the probability that an instrument produced by this machine will last between 6 and 11.6 months? |
| A. | 0.642 |
| B. | 0.4098 |
| C. | 0.16 |
| D. | 0.326 |
| Answer» E. | |
| 8. |
A personal computer has the length of time between charges of the battery is normally distributed with a mean of 66 hours and a standard deviation of 20 hours. What is the probability when the length of time will be between 58 and 75 hours? |
| A. | 0.595 |
| B. | 3.44 |
| C. | 0.0443 |
| D. | 1.98 |
| Answer» D. 1.98 | |
| 9. |
The length of alike metals produced by a hardware store is approximated by a normal distribution model having a mean of 7 cm and a standard deviation of 0.35 cm. Find the probability that the length of a randomly chosen metal is between 5.36 and 6.14 cm? |
| A. | 0.562 |
| B. | 0.2029 |
| C. | 3.765 |
| D. | 1.576 |
| Answer» C. 3.765 | |
| 10. |
Two fair coins are flipped. As a result of this, tails and heads runs occurred where a tail run is a consecutive occurrence of at least one head. Determine the probability function of number of tail runs. |
| A. | \(\frac{1}{2}\) |
| B. | \(\frac{5}{6}\) |
| C. | \(\frac{32}{19}\) |
| D. | \(\frac{6}{73}\) |
| Answer» B. \(\frac{5}{6}\) | |