# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 338 - 342 of 472

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## Question number: 338

» Probability » Probability Distributions » Joint and Marginal Distributions

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MCQ▾

### Question

Continuous random variables and have a joint distribution with density function for and . Find

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question number: 339

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MCQ▾

### Question

A chi-square (with degree of freedom) probability density function satisfies which of the following property/properties?

### Choices

Choice (4)Response

a.

If then is decreasing with

b.

If , then is concave downward.

c.

If , is increasing with as .

d.

All a. , b. and c. are correct

## Question number: 340

» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square

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MCQ▾

### Question

Suppose that is a sequence of independent random variables with , ; , then the following option is correct?

### Choices

Choice (4)Response

a.

in probability

b.

almost everywhere

c.

as

d.

Question does not provide sufficient data or is vague

## Question number: 341

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

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MCQ▾

### Question

Consider the following statements and then choose the option in which the given statements are equivalent.

I)

II)

III) for every

IV) for every

V) for every

### Choices

Choice (4)Response

a.

II and IV

b.

I, III, V

c.

I, V

d.

None of the above

## Question number: 342

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MCQ▾

### Question

If has the distribution with degrees of freedom in the numerator and degrees of freedom in the denominator then, will follow ________ distribution.

### Choices

Choice (4)Response

a.

b.

with degrees of freedom.

c.

d.

All of the above

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