Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 35 - 39 of 109

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Question number: 35

» Probability » Probability Distributions » Laplace

MCQ▾

Question

The moment generating function of standard Laplace distribution is ________, t(1, 1)

Choices

Choice (4) Response
a.

11t2

b.

t21t2

c.

t1t2

d.

11t

Question number: 36

» Probability » Probability Distributions » Binomial

MCQ▾

Question

The ratio of boys to girls at birth in Malda is at 1.05: 1. What proportion of Malda families with exactly 4 children will have at least 2 boys? (Ignore the probability of multiple births. )

Choices

Choice (4) Response
a.

0.5324

b.

0.2788

c.

0.3745

d.

0.4266

Question number: 37

» Probability » Probability Distributions » Binomial

MCQ▾

Question

Hospital records show that of patients suffering from a certain disease, 85 % die of it. What is the probability that of 5 randomly selected patients, 4 will recover?

Choices

Choice (4) Response
a.

0.0021

b.

0.0454

c.

0.0254

d. Question does not provide sufficient data or is vague

Question number: 38

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

The characteristic function of standard Cauchy distribution is ________.

Choices

Choice (4) Response
a.

exp( t 2)

b.

exp( t )

c.

exp( t 2)

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

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