Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 101 - 105 of 205

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Question number: 101

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

The Student t distribution with one degree of freedom has PDF________.

Choices

Choice (4) Response

a.

1Π(1+(x2)2),xR

b.

Standard Cauchy distribution

c.

Question does not provide sufficient data or is vague

d.

None of the above

Question number: 102

» Probability » Conditional Probability

MCQ▾

Question

Suppose that five good bulbs and two defective ones have been mixed up. To find the defective bulbs, we test them one-by-one, at random and without replacement. What is the probability that we are lucky and find both of the defective fuses in the first two tests?

Choices

Choice (4) Response

a.

221

b.

142

c.

342

d.

None of the above

Question number: 103

» Probability » Probability Distributions » Hypergeometric

MCQ▾

Question

A box contain 2000 items of which 10% are defective. Find the probability that 2 defectives will be obtained in a sample of size 10 without replacement.

Choices

Choice (4) Response

a.

0.193

b.

0.923

c.

0.388

d.

0.347

Passage

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

Question number: 104 (1 of 2 Based on Passage) Show Passage

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

The probability of getting a value less than 8 is________ and P(U>6ANDU<14) 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: 105 (2 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 6<U<14 . 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

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