ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 391 - 394 of 471

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Question number: 391

» Probability » Mathematical Expectation and Conditional Expectation

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MCQ▾

Question

A miner is trapped in a mine containing 3 doors. The first door leads to a tunnel that will take him safety after 3 hours of travel, the second door leads to a tunnel that will return him to the mine after 5 hours of travel. The third door leads to a tunnel that will return him to the mine after 7 hours of travel. If we assume that the miner is at all times equally likely to choose any one of the doors, find the expected time for him to get to safety.

Choices

Choice (4) Response

a.

3

b.

5

c.

15

d.

All of the above

Question number: 392

» Probability » Kolmogorov's 0-1 Law

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MCQ▾

Question

Which of the following is correct regarding Kolmogorov’s zero-one law?

Choices

Choice (4) Response

a.

It is even valid for sequence of dependent random variables.

b.

A tail -algebra contains only events of probability 0 or 1.

c.

Question does not provide sufficient data or is vague

d.

All of the above

Question number: 393

» Probability » Mathematical Expectation and Conditional Expectation

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MCQ▾

Question

If has the probability density

find the expected value of

Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

None of the above

Question number: 394

» Statistical Methods » Collection, Compilation and Presentation of Data

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Match List-Ⅰ List-Ⅱ▾

Question

Match the two columns:

List-Ⅰ (Column A) List-Ⅱ (Column B)

(A)

Sketches

(i)

A timed plan for finalizing a project or field work

(B)

Schedules

(ii)

A type of scale with a set of points, which describe varying degrees of dimensions.

(C)

Interview

(iii)

A rough drawing or design to present the item.

(D)

Rating Scale

(iv)

The process of interacting with the target group in the form of questions.

Choices

Choice (4) Response
  • (A)
  • (B)
  • (C)
  • (D)

a.

  • (iv)
  • (iii)
  • (i)
  • (ii)

b.

  • (i)
  • (iv)
  • (ii)
  • (iii)

c.

  • (i)
  • (ii)
  • (iv)
  • (iii)

d.

  • (iii)
  • (i)
  • (iv)
  • (ii)