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Given ordered array of float numbers, Check if array represents Normal Distribution.

I wrote algo to find triangular distribution as follows:

1. Find index "i" in array such that sum {A[0] + ...A[i-1]} almost equal to sum {A[i] + ... + A[n-1]}
2. Check if A[i....i-1] is almost increasing sequence
3. Check if A[i ... n -1] is almost decreasing sequence

I need to upgrade this to normal distribution ? Is there good Java lib that identifies Normal Distribution pattern Or is there well known algorithm to solve this problem

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