# Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 76 - 78 of 109

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 469 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

## Question number: 76

» Probability » Probability Distributions » Random Vectors

MCQ▾

### Question

The joint density function of two continuous random variables and is

What is the value of ?

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 77

» Probability » Probability Distributions » Gamma

MCQ▾

### Question

Which of the following statements is/are correct regarding Gamma distribution with parameters?

### Choices

Choice (4) Response

a.

If represents identically distributed, independent gamma random variables with parameters and , then if ,

b.

If represents identically distributed, independent gamma random variables with parameters and , then also have a gamma distribution with parameters and .

c.

If the gamma density function is reduced to the exponential density function.

d.

All a. , b. and c. are correct

## Question number: 78

» Probability » Probability Distributions » Beta

MCQ▾

### Question

For a standard Beta distribution having pdf , with parameter , which of the following statements is/are correct?

### Choices

Choice (4) Response

a.

If is increasing with

b.

If is decreasing with mode at

c.

If is increasing with mode at

d.

All a. , b. and c. are correct

f Page