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(a) Given definition of Normal ( Gaussian distribution) by citing an example. Draw graph of the...

(a) Given definition of Normal ( Gaussian distribution) by citing an example. Draw graph of the distribution.

Math   Statistics-And-Probability   
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Answer #1

A)

Normal distribution is the continous distribution with range from such that most of the observations are near mean and as the observations are far from the mean then probability of their occourance is very less.

Its pdf is given by:

if the its pdf is:

Example of normal distibution :

If xi's are the marks of the students then marks will be normally distributed as most of the students have marks near mean.

Graph of normal distribution :

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