ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 365 - 368 of 471

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Question number: 365

» Probability » Tchebycheff's Inequalities

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MCQ▾

Question

If follows an exponential distribution with , then what is the bound of using Tchebycheff’s Inequality?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 366

» Probability » Characteristic Function

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Question

For any random variable , its characteristic function is uniformly continuous on and satisfies following properties________ always.

Choices

Choice (4) Response

a.

, where for a complex number, denote the conjugate.

b.

c.

d.

All of the above

Question number: 367

» Probability » Laws of Large Numbers

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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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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.