ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 249 - 254 of 472

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Question 249

Question

MCQ▾

The characteristic function of standard Laplace distribution is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question 250

Question

MCQ▾

Suppose that and are independent random variables for an experiment, and that Negative Binomial distribution and Negative Binomial distribution . Then

Choices

Choice (4)Response

a.

Binomial distribution

b.

Negative Binomial distribution

c.

Negative Binomial distribution

d.

None of the above

Question 251

Question

MCQ▾

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 .

b.

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

c.

It is symmetric about its mean.

d.

None of the above

Question 252

Question

MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Question 253

Question

MCQ▾

The moment generating function of standard Laplace distribution is ________,

Choices

Choice (4)Response

a.

b.

c.

d.

Question 254

Question

MCQ▾

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 exactly 2 boys? (Ignore the probability of multiple births.)

Choices

Choice (4)Response

a.

0.5324

b.

0.4266

c.

0.2788

d.

0.3745