# ISS Statistics Paper IV: Questions 1 - 5 of 79

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## Question number: 1

Appeared in Year: 2015

Essay Question▾

### Describe in Detail

Explain stationary and stable population. State the situation when the age distribution of two stable populations would be identical.

### Explanation

Stationary Population: If the size of a population is constant and its composition according to age and sex also remains constant over time, then such a population is known as stationary population. The constancy in population for size and composition is maintained if,

1. Births and deaths are equal in… (75 more words) …

## Question number: 2

Appeared in Year: 2015

Essay Question▾

### Describe in Detail

Discuss the main sources of demographic data in the Indian system. Give your suggestion for the measures to improve the quality of data.

### Explanation

The main sources of demographic data in India are:

(i) Census: The most important source of demographic data in India is the census. It provides valuable information about the country and its people at a given point of time. A population census is an official enumeration of the inhabitants… (527 more words) …

## Question number: 3

Appeared in Year: 2015

Essay Question▾

### Describe in Detail

Explain briefly the uses of life table

### Explanation

A life table mainly displays the death rate between two consecutive birth days and expectation of life at any age of a cohort. The information revealed by a life-table has application in many fields and hence its uses can be summarized as given below:

1. Life tables are of great use… (127 more words) …

## Question number: 4

» Operations Research and Reliability » Queuing Models » M/M/1 Model

Appeared in Year: 2015

Essay Question▾

### Describe in Detail

(d) Show that for M/M/1/∞ queue model

where λn and µn are the means of Poisson and exponential distributions respectively where there are n people in the system.

### Explanation

Suppose the system is in state j at time t. There are j people in the system. In the next time interval of a very small duration Δt, the system can move to state j-1or j + 1with the following probabilities:

If there are no… (109 more words) …

## Question number: 5

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### Describe in Detail

Following is the data of 25 samples with 4 observations on the basis of volume of the bottles filled. Using a control limits for chart, test whether the production is under control?

 Sample No. Observations Sample No. Observations 1 15.85 16.02 15.83 15.93 13 15.85 15.76 15.74 15.98 2 16.12 16.00 15.85 16.01 14 15.73 15.84 15.96 16.10 3 16.00 15.91 15.94 15.83 15 16.20 16.01 16.10 15.89 4 16.20 15.85 15.74 15.93 16 16.12 16.08 15.83 15.94 5 15.74 15.86 16.21 16.10 17 16.01 15.93 15.81 15.68 6 15.94 16.01 16.14 16.03 18 15.78 16.04 16.11 16.12 7 15.75 16.21 16.01 15.86 19 15.84 15.92 16.05 16.12 8 15.82 15.94 16.02 15.94 20 15.92 16.09 16.12 15.93 9 16.04 15.98 15.83 15.98 21 16.11 16.02 16.00 15.88 10 15.64 15.86 15.94 15.89 22 15.98 15.82 15.89 15.89 11 16.11 16.00 16.01 15.82 23 16.05 15.73 15.73 15.93 12 15.72 15.85 16.12 16.15 24 16.01 16.01 15.89 15.86 25 16.08 15.78 15.92 15.98

### Explanation

 Sample No. Observations RangeEquation 1 15.85 16.02 15.83 15.93 0.19 2 16.12 16.00 15.85 16.01 0.27 3 16.00 15.91 15.94 15.83 0.17 4 16.20 15.85 15.74 15.93 0.46 5 15.74 15.86… (178 more words) …

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