ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 362 - 366 of 472
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Question number: 362
» Probability » Central Limit Theorems for Independent Variables
Question
A waitress earns varying tips with a mean of Rs. 10.90 with a standard deviation of Rs. 5.60. Assume on the weekend she gets 60 tips. What is the probability she earns Rs. 750 or more?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 0.134 | |
b. | 0.866 | |
c. | 0.742 | |
d. | 0.258 | |
Question number: 363
» Probability » Uniqueness and Continuity Theorems
Question
If and are two random variables such that . Then which of the following is correct?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | and are both continuous distributions. | |
b. | and have no relation. | |
c. | and have same distribution. | |
d. | Question does not provide sufficient data or is vague | |
Question number: 364
» Probability » Inversion
Question
Which of the following statement is/are correct?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | The characteristic function of random variable uniquely characterizes its distribution. | |
b. | Two or more random variables cannot follow same characteristic function. | |
c. | All of the above | |
d. | None of the above | |
Question number: 365
» Probability » Tchebycheff's Inequalities
Question
If follows an exponential distribution with , then what is the bound of using Tchebycheff’s Inequality?
Choices
| Choice (4) | Response | |
|---|---|---|
a. |
| |
b. |
| |
c. |
| |
d. |
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Question number: 366
» 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. | All of the above | |