# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 124 - 128 of 205

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## Question number: 124

» Probability » Probability Distributions » Beta

MCQ▾

### Question

If then has ________ distribution

### Choices

Choice (4) Response

a.

Uniform

b.

Normal

c.

Cauchy

d.

None of the above

## Question number: 125

» Probability » Modes of Convergences of Sequences of Random Variables » With Probability One

MCQ▾

### Question

If as with probability 1 then,

### Choices

Choice (4) Response

a.

as in probability.

b.

as in r-th mean.

c.

as almost everywhere.

d.

Question does not provide sufficient data or is vague

## Question number: 126

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

### Question

The cumulative distribution function for the joint distribution of the continuous random variables and is . What is the value of

### Choices

Choice (4) Response

a.

0.9

b.

3.2

c.

4.1

d.

None of the above

## Question number: 127

» Probability » Probability Distributions » Gamma

MCQ▾

### Question

Which of the following property is/are satisfied by a standard Gamma distribution with shape parameter ?

### Choices

Choice (4) Response

a.

If , is decreasing with as .

b.

If , is concave upward.

c.

If, is concave downward and then upward, with inflection point at .

d.

All a. , b. and c. are correct

## Question number: 128

» Probability » Probability Distributions » Beta

MCQ▾

### Question

A company produces bulbs that have a probability of being defective. The manufacturer does not know , but from past experience he expects this probability to be equal to . Furthermore, he quantifies his uncertainty about by attaching a standard deviation of to his estimate. After consulting with an expert in statistics, the manufacturer decides to use a Beta distribution to model her uncertainty about . What values of parameter will he use for making his assumptions true?

### Choices

Choice (4) Response

a.

b.

α=2.59, β = 49.21

c.

d.

Question does not provide sufficient data or is vague

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