Distribution Weibull

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I'm trying to find the parameters of the weibull distribution, the only thing that they gave me were the mean=EX=40 and the standard deviation=VX=35^2 I have gotten there so far but I'm stuck, have any idea of how to solve for beta and delta. The values are supposed to be beta=1.14566 and delta=41.98348

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Here is a way to solve it using EXCEL and its numerical method of solving for beta. Hopefully it is useful.

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