Question: Answer the following: a) Differentiate between probability density function (pdf) and cumulative density function (cdf). How are the two functions associated? Explain your answer using

Answer the following:

a) Differentiate between probability density function (pdf) and cumulative density function (cdf). How are the two functions associated? Explain your answer using appropriate mathematical expressions and illustrate with graphs.

b) State the Central Limit Theorem (CLT). The formal statement is the most important theorem of probability and concept of statistical inference. Why? Explain your answer using graphs to illustrate your point.

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