ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 367 - 371 of 472

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Question number: 367

» Probability » Laws of Large Numbers

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MCQ▾

Question

Let be a sequence of independent, identically distributed random variables, each having finite mean . Then, which of the following option is/are correct according to statement of Strong law of large number?

Choices

Choice (4)Response

a.

b.

c.

None of the above

d.

Question does not provide sufficient data or is vague

Question number: 368

» Probability » Central Limit Theorems for Independent Variables

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MCQ▾

Question

The amount of regular unleaded gasoline purchased every week at a gas station near Palampur follows the normal distribution with mean gallons and standard deviation gallons. The starting supply of gasoline is gallons, and there is a scheduled weekly delivery of gallons. Find the probability that, after weeks, the supply of gasoline will be below gallons.

Choices

Choice (4)Response

a.

0.1056

b.

0.2643

c.

0.7357

d.

Question number: 369

» Probability » Tchebycheff's Inequalities

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MCQ▾

Question

For a random variable with expectation , and standard deviation , which of the following inequality is correct?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 370

» Probability » Laws of Large Numbers

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MCQ▾

Question

Consider rolls of a die. Let be the outcome of the th roll. Then, if is the sum of first n rolls, which of the following is correct?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 371

» Probability » Borel 0-1 Law

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MCQ▾

Question

Suppose are independent events with where . If then, which of the following is correct?

Choices

Choice (4)Response

a.

a. s

b.

a. s

c.

does not converge.

d.

in probability.

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