ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 319 - 322 of 472

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Question 319

Question

MCQ▾

A company produces bulbs that have a probability of being defective. The manufacturer does not know , but from past experience he expects this probability to be equal to . Furthermore, he quantifies his uncertainty about by attaching a standard deviation of to his estimate. After consulting with an expert in statistics, the manufacturer decides to use a Beta distribution to model her uncertainty about . What values of parameter will he use for making his assumptions true?

Choices

Choice (4)Response

a.

b.

c.

α = 2.59, β = 49.21

d.

Question does not provide sufficient data or is vague

Question 320

Question

MCQ▾

If in mean, then ________.

Choices

Choice (4)Response

a.

in probability.

b.

almost everywhere

c.

in distribution.

d.

Both a. and c. are correct

Question 321

Question

MCQ▾

Suppose Suppose is a random variable such that the conditional distribution of given is negative binomial with stopping parameter and success parameter . Then conditional distribution given follows ________.

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Question 322

Conditional Distributions

Question

MCQ▾

Suppose the continuous random variables X and Y have the following joint probability density function: for and . What is the conditional density of given ?

Choices

Choice (4)Response

a.

b.

c.

d.