ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 270 - 273 of 404

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Question number: 270

» Probability » Probability Distributions » Bernoulli

MCQ▾

Question

Suppose that {Xn} and {Yn} are the sequence of independent Bernoulli distribution with parameter p and q respectively. Let {Zn} be a new process such that, Zn=max{Xn,Yn} . Then Zn will follow ________ distribution with P(Zn=1)= ________?

Choices

Choice (4) Response
a.

Bernoulli, max(p,q)

b.

Bernoulli, p+q

c.

Non Bernoulli, max(p,q)

d. None of the above

Question number: 271

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

If X1,X2, are iid rectangular (0, 1) . Which of the following is correct regarding

X(n)=max1inXi

Choices

Choice (4) Response
a.

X(n) converges in distribution to U(0, 1) .

b.

X(n) converges in distribution to exponential(1) .

c.

X(n) converges in distribution to N(0, 1) .

d. None of the above

Question number: 272

» Probability » Probability Distributions » Normal

MCQ▾

Question

If cars arrive at a parking lot at rate of 50 per hour. Assuming process to be Poisson random variable with λ=50. The probability that in the next hour the number of cars that arrive at this parking lot will be between 54 and 62 is________.

Choices

Choice (4) Response
a.

0.5562

b.

0.2717

c.

0.9283

d.

0.7233

Question number: 273

» Probability » Discrete and Continuous Random Variables

MCQ▾

Question

Which of the following statement is Incorrect regarding a random variable?

Choices

Choice (4) Response
a.

The volume of fuel consumed by a bus on its route is a continuous random variable.

b.

A random variable can be discrete as well as continuous.

c.

The height or weight of a randomly chosen individual from a population is a continuous random variable.

d. None of the above

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