10. Discuss but no need to submit. In statistics one of the most important distr

Question

10. Discuss but no need to submit. In statistics one of the most important distributions is the normal distribution. Why is it so important? A normal distribution with mean and variance 2 has this probability distribution function: [Double click on the formula to see it sharper] Calculate da) dP(x) dr Mangos Try to use mangoboXroot:(2 p)-312 a to generate more complicated formula before dragging them to the forum. Experiment with the formula and hit enter. The rendered image should be draggable to the forum... at least in firefox on windows... 9 Derivatives of Trigono 25

Explanation / Answer

Undoubtedly the normal distribution owes much of its importance to the central limit theorem.

There are four other characterizations of the distribution taught by Professors Carl Morris and Joe Blitzstein in their course Stat 210 that tend to go by the wayside in the limelight of the CLT. (At least I didn't know of them previously!)

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