# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 49 - 51 of 205

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## Question number: 49

» Probability » Probability Distributions » Rectangular

MCQ▾

### Question

An n-dimensional rectangular box with sides is to be constructed. The volume is . The edge-length of an n-cube with the same volume as the random box is . Let be i. i. d. uniform random variables over the interval Which of the following statements is/are correct regarding this?

Statements:

1) Expected edge length captures the idea of the volume of the box.

2) Expected edge length does not captures the idea of the volume of the box.

3)

### Choices

Choice (4) Response

a.

1 and 3

b.

3

c.

2 and 3

d.

Question does not provide sufficient data or is vague

## Question number: 50

» Probability » Classical and Axiomatic Definitions

MCQ▾

### Question

There are 30 people in a room. What is the probability that any two of them celebrate their birthday on the same day? Assume 365 days in a year.

### Choices

Choice (4) Response

a.

0.08

b.

0.5

c.

More than 0.5

d.

Less than 0.5

## Question number: 51

» Probability » Bayes' Theorem and Applications

MCQ▾

### Question

Suppose a man have two bags each containing black and white balls. One bag contains three times as many white balls as blacks. The other bag contains three times as many black balls as white. Suppose he choose one of these bags at random. From that bag he select five balls at random, replacing each ball after it has been selected. He found 4 white balls and one black in the result. What is the probability that he was using the bag with mainly white balls?

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

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