ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 367 - 369 of 461

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Question number: 367

» Probability » Characteristic Function

MCQ▾

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.

None of the above

Question number: 368

» Probability » Laws of Large Numbers

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.

All of the above

Question number: 369

» Probability » Central Limit Theorems for Independent Variables

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.

0.2643

b.

0.7357

c.

d.

0.1056

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