# Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 22 - 25 of 109

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## Question number: 22

» Probability » Probability Distributions » Exponential

MCQ▾

### Question

Suppose that the lifetime of a bulb is modeled by an exponential distribution with (unknown) parameter λ. We test 5 bulbs and find they have lifetimes of 2,3, 1,3, and 4 years, respectively. What is the MLE for λ?

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 23

» 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: 24

» 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: 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.

b.

c.

d.

All of the above

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