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

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: 1

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 2

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

1

d.

Equation

Question number: 3

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

Question number: 4

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 5

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation if Equation and Equation are independent.

d.

All a. , b. and c. are correct

f Page
Sign In