Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 38 - 42 of 109

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Question number: 38

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

The characteristic function of standard Cauchy distribution is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 39

» Probability » Probability Distributions » Binomial

MCQ▾

Question

Which of the following statement is/are correct regarding De Moivre–Laplace theorem?

Choices

Choice (4) Response

a.

It is valid for very large values of n.

b.

It is a special case of the Chebyshev’s inequality.

c.

It states that the normal distribution may be used as an approximation to the binomial distribution.

d.

None of the above

Question number: 40

» Probability » Probability Distributions » Normal

MCQ▾

Question

A factory produces chocolates which are where quantity measured in grams. Chocolates which are lighter than 3.5 gram or heavier than 4.4 gram are rejected. Out of a bunch of 100 chocolates how many would be acceptable?

Choices

Choice (4) Response

a.

72

b.

90

c.

47

d.

86

Question number: 41

» Probability » Probability Distributions » Geometric

MCQ▾

Question

Geometric distribution satisfy which of the following property/properties?

Choices

Choice (4) Response

a.

Markov property & Memoryless property

b.

Memoryless property

c.

Markov property

d.

Question does not provide sufficient data or is vague

Question number: 42

» Probability » Probability Distributions » Multinomial

MCQ▾

Question

Out of 10 persons, what is the probability that 2 are poor, 5 are rich, 2 belongs to upper middle class and 1 belongs to lower middle class family? Assuming classification of individuals are independent event and the probability of being poor, rich, upper middle and lower middle are respectively.

Choices

Choice (4) Response

a.

1.54×10-5

b.

c.

d.

All of the above

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