Probability-Mathematical Expectation and Conditional Expectation (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 5 of 7

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Question number: 1

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

Let random variables , be independent normal random variables. So if then, which of the following is the characteristic function of if and ?

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

Question number: 2

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

Let and be independent; each is uniformly distributed on Let , then ________.

Choices

Choice (4) Response

a.

b.

c.

1

d.

Question number: 3

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

If is the number of points rolled with a balanced die, find the expected value of .

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 4

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

Let be an exponential random variable with parameter . It’s characteristic function is________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 5

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

Let be random variables, and . Assuming that expectations exist, we have = ________

Choices

Choice (4) Response

a.

b.

c.

if and are independent.

d.

All a. , b. and c. are correct

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