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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def bivconvolve (sx_a, sy_a, cxy_a, sx_b, sy_b, cxy_b):
 """Given two independent bivariate distributions, compute a bivariate distribution corresponding to their convolution. I'm sure this is worked out in a ton of places, but I got the equations Returns: (sx_c, sy_c, cxy_c), the parameters of the convolved distribution. """

    _bivcheck (sx_a, sy_a, cxy_a)
    _bivcheck (sx_b, sy_b, cxy_b)

    sx_c = np.sqrt (sx_a**2 + sx_b**2)
    sy_c = np.sqrt (sy_a**2 + sy_b**2)
    cxy_c = cxy_a + cxy_b

    return _bivcheck (sx_c, sy_c, cxy_c)