Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 120 - 122 of 205

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Question number: 120

» Probability » Probability Distributions » Conditional Distributions

MCQ▾

Question

A continuous random vector Equation have joint probability distribution function

Equation

What is the mean of conditional density of Equation given Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

x

d.

None of the above

Question number: 121

» Probability » Probability Distributions » Gamma

MCQ▾

Question

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 Equation where Equation and Equation 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.

0.8647

b.

Equation

c.

Equation

d.

None of the above

Question number: 122

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Using the method of moment estimation, find the estimators Equation and Equation of parameters of Equation if Equation .

Choices

Choice (4) Response

a.

Equation and Equation

b.

Equation and Equation

c.

Equation and Equation

d.

All of the above

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