ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 233 - 236 of 471
Access detailed explanations (illustrated with images and videos) to 471 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.
Rs. 300.00 or
How to register?
Question number: 233
» Probability » Probability Distributions » Poisson
Question
If water supply failures occur according to a Poisson distribution with an average of 5 failures every ten weeks, calculate the probability that there will not be more than one failure during a particular week
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
|
|
| b. |
|
|
| c. |
|
|
| d. |
|
|
Question number: 234
» Probability » Probability Distributions » Uniform
Question
The amount of time, in minutes, that a person must wait for a bus is uniformly distribute between 5 and 20 minutes, inclusive. On the average, how long must person wait?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 7.5 minutes |
|
| b. | 12.5 minutes |
|
| c. | 10 minutes |
|
| d. | None of the above |
|
Question number: 235
» Probability » Probability Distributions » Exponential
Question
Suppose that the lifetime of a bulb is modeled by an exponential distribution with (unknown) parameter λ. We test 5 bulbs and find they have lifetimes of 2,3, 1,3, and 4 years, respectively. What is the MLE for λ?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
|
|
| b. |
|
|
| c. |
|
|
| d. | None of the above |
|
Question number: 236
» Probability » Bayes' Theorem and Applications
Question
Most (70%) of the taxis in Rajkot are green, with the rest (30%) being yellow. In a traffic accident involving a hit-and-run taxi, a witness claims the taxi was yellow. Careful testing shows that the witness can successfully identify the color of a taxi only 75 % of the time due to bad eyesight. On the balance of probabilities, should we hold Yellow Taxi Company liable?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Information insufficient. |
|
| b. | Yellow taxi Company should be held liable. |
|
| c. | Can’t make any claim. |
|
| d. | Yellow taxi Company should not be held liable. |
|