# Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 38 - 42 of 109

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## Question number: 38

» Probability » Probability Distributions » Cauchy

MCQ▾

### Question

The characteristic function of standard Cauchy distribution is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 39

» Probability » Probability Distributions » Binomial

MCQ▾

### Question

Which of the following statement is/are correct regarding De Moivre–Laplace theorem?

### Choices

Choice (4) Response

a.

It is valid for very large values of n.

b.

It is a special case of the Chebyshev’s inequality.

c.

It states that the normal distribution may be used as an approximation to the binomial distribution.

d.

None of the above

## Question number: 40

» Probability » Probability Distributions » Normal

MCQ▾

### Question

A factory produces chocolates which are where quantity measured in grams. Chocolates which are lighter than 3.5 gram or heavier than 4.4 gram are rejected. Out of a bunch of 100 chocolates how many would be acceptable?

### Choices

Choice (4) Response

a.

72

b.

90

c.

47

d.

86

## Question number: 41

» Probability » Probability Distributions » Geometric

MCQ▾

### Question

Geometric distribution satisfy which of the following property/properties?

### Choices

Choice (4) Response

a.

Markov property & Memoryless property

b.

Memoryless property

c.

Markov property

d.

Question does not provide sufficient data or is vague

## Question number: 42

» Probability » Probability Distributions » Multinomial

MCQ▾

### Question

Out of 10 persons, what is the probability that 2 are poor, 5 are rich, 2 belongs to upper middle class and 1 belongs to lower middle class family? Assuming classification of individuals are independent event and the probability of being poor, rich, upper middle and lower middle are respectively.

### Choices

Choice (4) Response

a.

1.54×10-5

b.

c.

d.

All of the above

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