ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 348 - 352 of 472

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Question number: 348

» Probability » Inversion

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MCQ▾

Question

Let be a real random variable whose characteristic function is integrable over so . Then has a bounded continuous density on given by________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 349

» Probability » Moment and Probability Generating Functions

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Question

For a random variable , if we have the moment generating function , for . Then the distribution of is ________.

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Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 350

» Probability » Kolmogorov's Inequalities

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Question

For every and every if be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 351

» Probability » Kolmogorov's Inequalities

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Question

Which of the following is/are correct regarding statement of Kolmogorov’s Inequalities?

Choices

Choice (4)Response

a.

Expected value of all random variable is

b.

The random variables involved are independent.

c.

Random variables involved share common probability space.

d.

All a. , b. and c. are correct

Question number: 352

» Probability » Inversion

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Question

Let be the characteristic function of a probability measure on . If then the inversion formula is ________.

Choices

Choice (4)Response

a.

b.

c.

d.

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