ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 277 - 280 of 404

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Question number: 277

» Probability » Probability Distributions » Laplace

MCQ▾

Question

Which of the following statement is/are always correct regarding the probability density function of a Laplace distribution?

Choices

Choice (4) Response

a.

It is symmetric about 0.

b.

It increases on (,0] and decreases on [0,) , with mode 0.

c.

It is concave upward on (,0] and on [0,) with a cusp at 0.

d.

None of the above

Question number: 278

» Probability » Probability Distributions » Negative Binomial

MCQ▾

Question

Reshma is a basketball player. She is 60% free throw shooter. What is the probability that Reshma makes her third free throw on her fifth shot?

Choices

Choice (4) Response

a.

0.414

b.

0.207

c.

0.185

d.

0.735

Question number: 279

» Probability » Probability Distributions » Multinomial

MCQ▾

Question

If X1,X2,,Xm are counts in cells/boxes 1 up to m, each box have different probability pi , and the fixed number of balls are n=x1+x2++xm . Then what is maximum Likelihood of Multinomial Cell Probabilities?

Choices

Choice (4) Response

a.

pi^=xi

b.

pi^=xin

c.

pi^=xin

d.

pi^=xi

Question number: 280

» Probability » Probability Distributions » Laplace

MCQ▾

Question

If (X1,X2,X3,X4) is a random sample of size 4 from a standard normal distribution. Then the U=X1X2+X3X4 will follow ________

Choices

Choice (4) Response

a.

Laplace distribution.

b.

Exponential distribution

c.

Bivariate normal distribution.

d.

Question does not provide sufficient data or is vague

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