ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 303 - 307 of 469

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Passage

The random number generator in Excel is set to produce numbers at random from 4 to 20 using a rectangular distribution.

Question number: 303 (1 of 2 Based on Passage) Show Passage

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

Define event A to be a number is less than 8 and define event B to be a number is in the interval Equation . Then, which of the following relation is correct among A and B?

Choices

Choice (4) Response

a.

A and B are independent.

b.

A and B are mutually exclusive.

c.

A and B are mutually exhaustive.

d.

All of the above

Question number: 304 (2 of 2 Based on Passage) Show Passage

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

The probability of getting a value less than 8 is________ and Equation is________.

Choices

Choice (4) Response

a.

0.50 and 0.25

b.

0.25 and 0.50

c.

0.125 and 0.25

d.

All of the above

Question number: 305

» Probability » Probability Distributions » Geometric

MCQ▾

Question

Let Equation be a discrete random variable with the geometric distribution with parameter Equation . Then the Probability Generating Function of Geometric Distribution will be ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

Question number: 306

» Probability » Probability Distributions » Exponential

MCQ▾

Question

Suppose that the amount of time one spends in a bank is exponentially distributed mean 10 minutes, Equation . What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes?

Choices

Choice (4) Response

a.

0.50

b.

Equation

c.

0.314

d.

None of the above

Question number: 307

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

MCQ▾

Question

Suppose that Equation has the discrete uniform distribution on Equation for each Equation and let Equation denote the probability density function of Equation Let Equation have the continuous uniform distribution on the interval Equation . Then which of the following is correct option?

Choices

Choice (4) Response

a.

Equation for each Equation but Equation

b.

The distribution of Equation converges to the distribution of Equation as Equation

c.

Equation as Equation for all Equation

d.

All a. , b. and c. are correct

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