ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 308 - 312 of 472

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Question 308

Question

MCQ▾

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 mode at

b.

If is increasing with

c.

If is decreasing with mode at

d.

All a., b. and c. are correct

Question 309

Conditional Distributions

Question

MCQ▾

Suppose that the joint density of and is

and zero otherwise. Which of the following is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

Question 310

Question

MCQ▾

If is the mode of given , then which of the following relation is correct:

Choices

Choice (4)Response

a.

b.

c.

d.

Question 311

Conditional Distributions

Question

MCQ▾

A continuous random vector have joint probability distribution function

What is the mean of conditional density of given ?

Choices

Choice (4)Response

a.

x

b.

c.

d.

None of the above

Question 312

Question

MCQ▾

Suppose that a bullet is fired at a target at the origin of a plane coordinate system, with units in meters. The bullet lands at where and are independent and each has the normal distribution with mean 0 and variance 100. The bullet will destroy the target if it lands within 20 meters of the target. Find the probability of this event.

Choices

Choice (4)Response

a.

b.

0.8647

c.

d.

None of the above