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Why parameter should not change?
In statistics the parameters of the distributions of populations are the fundamental values of interest. In a way the randomness just gets in the way of learning about the parameters. They are considered constant because they define or characterise the distributions of populations.
What does probalility distribution mean?
In parametric statistical analysis we always have some probability distributions such as Normal, Binomial, Poisson uniform etc.In statistics we always work with data. So Probability distribution means "from which distribution the data are?
Why normal distribution is better than other distributions?
It may not be better, but there is a lot of information on the normal distribution. It is one of the most widely used in statistics.
Why you prefer normal distribution over other distributions in statistics?
we prefer normal distribution over other distribution in statistics because most of the data around us is continuous. So, for continuous data normal distribution is used.
What do the variance and the standard deviation measure?
They are measures of the spread of distributions about their mean.
