# Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 20 - 24 of 109

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## Question number: 20

» Probability » Probability Distributions » Poisson

MCQ▾

### Question

If water supply failures occur according to a Poisson distribution with an average of 5 failures every ten weeks, calculate the probability that there will not be more than one failure during a particular week

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 21

» Probability » Probability Distributions » Uniform

MCQ▾

### Question

The amount of time, in minutes, that a person must wait for a bus is uniformly distribute between 5 and 20 minutes, inclusive. On the average, how long must person wait?

### Choices

Choice (4) Response

a.

7.5 minutes

b.

12.5 minutes

c.

10 minutes

d.

None of the above

## 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.

All can follow Poisson distribution.

c.

A have smallest value of λ.

d.

All of the above

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