Question

What's simple random sampling? Is it possible to sample data instances using a distribution different from the uniform distribution? If so, give an example of a probability distribution of the data instances that is different from uniform (i.e., equal probability).

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The procedure of selecting a sample is thus called, fulfilling two fundamental properties:

-All individuals in the population have the same probability of being elected.

-All samples of the same size are equally likely.

From a mathematical point of view, simple random sampling is performed assuming that the population has infinite elements. In practice, it is often the case that the populations to be considered have a very large number of elements, which can be compared to a situation with infinite elements.

Yes, it is possible to sample data instances using a distribution different from the uniform distribution.

In excel, do the following to obtain a sample dataset.

E.g. to create a 5 element sample from the standard normal distribution, place the formula = NORM.S.INV (RAND ()) in cell A1, highlight the range A1: A15 and press Ctrl-D.