# Probability-Mathematical Expectation and Conditional Expectation (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 6 - 7 of 7

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## Question number: 6

» Probability » Mathematical Expectation and Conditional Expectation

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.

Question does not provide sufficient data or is vague

## Question number: 7

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

### Question

If has the probability density

find the expected value of

### Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

All of the above

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