ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 264 - 268 of 469

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Question number: 264

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

The characteristic function of standard Cauchy distribution is ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 265

» 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

Question number: 266

» Probability » Law of Total Probability

MCQ▾

Question

A biased coin (with probability of obtaining a Head equal to p > 0) is tossed repeatedly and independently until the first head is observed. What is the probability that the first head appears at an even numbered toss?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 267

» Probability » Probability Distributions » Normal

MCQ▾

Question

A factory produces chocolates which are Equation where quantity measured in grams. Chocolates which are lighter than 3.5 gram or heavier than 4.4 gram are rejected. Out of a bunch of 100 chocolates how many would be acceptable?

Choices

Choice (4) Response

a.

72

b.

90

c.

47

d.

86

Question number: 268

» Probability » Probability Distributions » Geometric

MCQ▾

Question

Geometric distribution satisfy which of the following property/properties?

Choices

Choice (4) Response

a.

Markov property & Memoryless property

b.

Memoryless property

c.

Markov property

d.

Question does not provide sufficient data or is vague

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