[maths problem] Work out a strange average

Anvil Q&A
11

Here is the source code of random.triangular from the Python standard library. Not really normal distribution, but easy to implement in another language and, perhaps, good enough for you.

def triangular(self, low=0.0, high=1.0, mode=None):
    """Triangular distribution.

    Continuous distribution bounded by given lower and upper limits,
    and having a given mode value in-between.

    http://en.wikipedia.org/wiki/Triangular_distribution

    """
    u = self.random()
    try:
        c = 0.5 if mode is None else (mode - low) / (high - low)
    except ZeroDivisionError:
        return low
    if u > c:
        u = 1.0 - u
        c = 1.0 - c
        low, high = high, low
    return low + (high - low) * _sqrt(u * c)
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