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Explain normal distribution of random numbers

Illustrates an example to explain normal distribution of random numbers?

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You have three hats containing usually distributed random numbers. There one hat’s numbers have a mean of zero and the standard deviation of 0.1. It is hat A. The other hat’s numbers have a mean of zero and the standard deviation of 1. It is hat B. The last hat’s numbers have a mean of zero and the standard deviation of 10. It is hat C. You don’t know which that is which.

You choose a number out of one hat. This is −2.6.

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