# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 191 - 193 of 205

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## Question number: 191

» Probability » Moment and Probability Generating Functions

MCQ▾

### Question

A hen lays eggs, where . Each egg hatches with probability , independently of the other eggs. Find the probability distribution of number of chicks,

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 192

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

### Question

Let be a ramdom variable and . A sample of size is taken from this population. What is the probability that the sum of these observations is less than ?

### Choices

Choice (4) Response

a.

b.

0.0062

c.

d.

## Question number: 193

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

### Question

From past experience, it is known that the number of tickets purchased by a student standing in line at the ticket window for the cricket match of India against Srilanka follows a distribution that has mean and standard deviation. Suppose that few hours before the start of one of these matches there are eager students standing in line to purchase tickets. If only tickets remain, what is the probability that all students will be able to purchase the tickets they desire?

### Choices

Choice (4) Response

a.

0.9905

b.

0.3085

c.

0.6915

d.

0.0095

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