Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 25 - 27 of 109

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Question number: 25

» 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.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 26

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

An n-dimensional rectangular box with sides Equation is to be constructed. The volume is Equation . The edge-length Equation of an n-cube with the same volume as the random box is Equation . Let Equation be i. i. d. uniform random variables over the interval Equation 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) Equation

Choices

Choice (4) Response

a.

1 and 3

b.

3

c.

2 and 3

d.

Question does not provide sufficient data or is vague

Question number: 27

» Probability » Probability Distributions » Multinomial

MCQ▾

Question

If Equation where, Equation then, Equation ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

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