N & P in Binomial Distribution with Mean 12 & SD 2.683

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A binomial distribution has a mean of 12 and a standard deviation of 2.683, what are N and P?

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Surely you have formulas telling you how to calculate the mean and standard deviation given N and P!
 

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I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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