ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 367 - 369 of 461
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 461 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
Question number: 367
» Probability » Characteristic Function
Question
For any random variable , its characteristic function is uniformly continuous on and satisfies following properties________ always.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | , where for a complex number, denote the conjugate. |
|
| b. |
|
|
| c. |
|
|
| d. | None of the above |
|
Question number: 368
» Probability » Laws of Large Numbers
Question
Let be a sequence of independent, identically distributed random variables, each having finite mean . Then, which of the following option is/are correct according to statement of Strong law of large number?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
|
|
| b. |
|
|
| c. | None of the above |
|
| d. | All of the above |
|
Question number: 369
» Probability » Central Limit Theorems for Independent Variables
Question
The amount of regular unleaded gasoline purchased every week at a gas station near Palampur follows the normal distribution with mean gallons and standard deviation gallons. The starting supply of gasoline is gallons, and there is a scheduled weekly delivery of gallons. Find the probability that, after weeks, the supply of gasoline will be below gallons.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 0.2643 |
|
| b. | 0.7357 |
|
| c. |
|
|
| d. | 0.1056 |
|