# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 45 - 48 of 205

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## 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.

## 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

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