Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 46 - 49 of 205

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Question number: 46

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

If has the standard Cauchy distribution, then will follow________.

Choices

Choice (4) Response

a.

A Student t distribution with 2 degree of freedom.

b.

A Chi-square distribution.

c.

A Laplace distribution.

d.

None of the above

Question number: 47

» Probability » Probability Distributions » Poisson

MCQ▾

Question

Which of the following statement is/are false regarding following curve?

Which is a correct statement regarding the given curves

Which Is a Correct Statement Regarding the Given Curves

Find the correct statement as regards to these curves.

Choices

Choice (4) Response

a.

D have smallest value of λ.

b.

All can follow Poisson distribution.

c.

A have smallest value of λ.

d.

All of the above

Question number: 48

» Probability » Probability Distributions » Normal

MCQ▾

Question

A manufacturer does not know the mean and SD of the diameter of a ball bearing he is producing. However, a machine rejects all bearings larger than 2.5 cm and those under 2 cm in diameter. Out of 5000 ball bearings 9 % are rejected as too small and 6.5 % as too big. What is the mean and standard deviation of the ball bearings produced?

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

Question number: 49

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

An n-dimensional rectangular box with sides is to be constructed. The volume is . The edge-length of an n-cube with the same volume as the random box is . Let be i. i. d. uniform random variables over the interval Which of the following statements is/are correct regarding this?

Statements:

1) Expected edge length captures the idea of the volume of the box.

2) Expected edge length does not captures the idea of the volume of the box.

3)

Choices

Choice (4) Response

a.

1 and 3

b.

3

c.

2 and 3

d.

Question does not provide sufficient data or is vague

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