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Consider simple random sampling with replacement from a population of size N. The number of samples of size n is

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. ​NPn
  2. NCn
  3. Nn
  4. None of the options

Answer (Detailed Solution Below)

Option 3 : Nn
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Detailed Solution

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Explanation

When n units are selected with SRSWR, the total number of possible samples are Nn

Important Points

Simple random sampling = It is a sampling technique where every item in the population has an even chance and likelihood of being selected in the samplr

In it selection of items completely depends on chance or by probability  and each item has an equal chance to be selected

It is also known as method of chances

The simple random sampling with replacement = It is called SRSWR, in it a unit is selected from the sampling frame. The unit is replaced back and the next unit is selected. This process is repeated till a sample of the desired size is selected.

When n units are selected with SRSWR, the total number of possible samples are Nn

The probability of drawing a sample is 1/Nn.

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