ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 327 - 329 of 469

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Question number: 327

» Probability » Probability Distributions » Beta

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

α=2.59, β = 49.21

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 328

» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square

MCQ▾

Question

If Equation in mean, then ________.

Choices

Choice (4) Response

a.

Equation almost everywhere

b.

Equation in distribution.

c.

Equation in probability.

d.

Both b. and c. are correct

Question number: 329

» Probability » Probability Distributions » Beta

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

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