# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 41 - 45 of 205

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## Question number: 41

» Probability » Conditional Probability

MCQ▾

### Question

Your neighbor has 2 children. You learn that he has a son, Rahul. What is the probability that Rahul’s sibling is a brother?

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 42

» 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: 43

» 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: 44

» 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: 45

» Probability » Bayes' Theorem and Applications

MCQ▾

### Question

Most (70%) of the taxis in Rajkot are green, with the rest (30%) being yellow. In a traffic accident involving a hit-and-run taxi, a witness claims the taxi was yellow. Careful testing shows that the witness can successfully identify the color of a taxi only 75 % of the time due to bad eyesight. On the balance of probabilities, should we hold Yellow Taxi Company liable?

### Choices

Choice (4) Response

a.

Information insufficient.

b.

Yellow taxi Company should not be held liable.

c.

Yellow taxi Company should be held liable.

d.

Can’t make any claim.

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