# 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?

### Choices

Choice (4) Response

a.

D have smallest value of λ.

b.

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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