Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 60 - 64 of 205

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Question number: 60

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

Which of the following statement is correct regarding the pdf of standard Cauchy distribution?

Choices

Choice (4) Response

a.

It increases and then decreases, with mean Equation .

b.

It is concave upward, then downward, and then upward again, with inflection points at Equation .

c.

It is symmetric about its mean.

d.

None of the above

Question number: 61

» Probability » Probability Distributions » Normal

MCQ▾

Question

If Equation are i. i. d with standard normal distributions, the value of Equation so that the random variable Equation has a t-distribution is________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 62

» Probability » Probability Distributions » Laplace

MCQ▾

Question

The moment generating function of standard Laplace distribution is ________, Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 63

» 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: 64

» 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

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