# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 104 - 108 of 205

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## Passage

The random number generator in Excel is set to produce numbers at random from 4 to 20 using a rectangular distribution.

## Question number: 104 (1 of 2 Based on Passage) Show Passage

» Probability » Probability Distributions » Rectangular

MCQ▾

### Question

The probability of getting a value less than 8 is________ and is________.

### Choices

Choice (4) Response

a.

0.50 and 0.25

b.

0.25 and 0.50

c.

0.125 and 0.25

d.

All of the above

## Question number: 105 (2 of 2 Based on Passage) Show Passage

» Probability » Probability Distributions » Rectangular

MCQ▾

### Question

Define event A to be a number is less than 8 and define event B to be a number is in the interval . Then, which of the following relation is correct among A and B?

### Choices

Choice (4) Response

a.

A and B are independent.

b.

A and B are mutually exclusive.

c.

A and B are mutually exhaustive.

d.

All of the above

## Question number: 106

» Probability » Probability Distributions » Geometric

MCQ▾

### Question

Let be a discrete random variable with the geometric distribution with parameter . Then the Probability Generating Function of Geometric Distribution will be ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 107

» Probability » Probability Distributions » Exponential

MCQ▾

### Question

Suppose that the amount of time one spends in a bank is exponentially distributed mean 10 minutes, . What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes?

### Choices

Choice (4) Response

a.

0.50

b.

c.

0.314

d.

None of the above

## Question number: 108

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

MCQ▾

### Question

Suppose that has the discrete uniform distribution on for each and let denote the probability density function of Let have the continuous uniform distribution on the interval . Then which of the following is correct option?

### Choices

Choice (4) Response

a.

for each but

b.

The distribution of converges to the distribution of as

c.

as for all

d.

All a. , b. and c. are correct

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