MCQOPTIONS
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MCQOPTIONS
This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Electronic Devices and Circuits knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A joint sample space for two random variable X and Y has four elements (1,1), (2,2), (3,3) and (4,4). Probabilities of these elements are 0.1, 0.35, 0.05 and 0.5 respectively. What is the probability of the event that X is less than three? |
| A. | 0.45 |
| B. | 0.50 |
| C. | 0.55 |
| D. | 0.60 |
| Answer» C. 0.55 | |
| 2. |
A joint sample space for two random variable X and Y has four elements (1,1), (2,2), (3,3) and (4,4). Probabilities of these elements are 0.1, 0.35, 0.05 and 0.5 respectively. What is the probability of the event{X 2.5, Y 6} is? |
| A. | 0.45 |
| B. | 0.50 |
| C. | 0.55 |
| D. | 0.60 |
| Answer» B. 0.50 | |
| 3. |
The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x). What is the variance of the random variable x is? |
| A. | 1/10 |
| B. | 3/80 |
| C. | 5/16 |
| D. | 3/16 |
| Answer» C. 5/16 | |
| 4. |
The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x). What is the mean of the random variable x is? |
| A. | 1/4 |
| B. | 1/6 |
| C. | 1/3 |
| D. | 1/5 |
| Answer» B. 1/6 | |
| 5. |
The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x). What is the expect value of g(x) = X3? |
| A. | 48 |
| B. | 192 |
| C. | 36 |
| D. | 72 |
| Answer» B. 192 | |
| 6. |
Delhi averages three murder per week and their occurrences follow a Poisson distribution. On average, how many weeks a year can Delhi expect to have no murders? |
| A. | 1.4 |
| B. | 1.9 |
| C. | 2.6 |
| D. | 3.4 |
| Answer» D. 3.4 | |
| 7. |
Delhi averages three murder per week and their occurrences follow a Poisson distribution. The probability that there will be five or more murders in a given week is? |
| A. | 0.1847 |
| B. | 0.2461 |
| C. | 0.3927 |
| D. | 0.4167 |
| Answer» B. 0.2461 | |
| 8. |
The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b=2. What is the probability that no car will arrive is? |
| A. | 0.516 |
| B. | 0.459 |
| C. | 0.246 |
| D. | 0.135 |
| Answer» E. | |
| 9. |
The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b=2. What is the probability that more than 3 cars will arrive during any 10 min period? |
| A. | 0.249 |
| B. | 0.143 |
| C. | 0.346 |
| D. | 0.543 |
| Answer» C. 0.346 | |