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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 second_order_score(y, mean, scale, shape, skewness):
 """ GAS Poisson Update term potentially using second-order information - native Python function Parameters y : float datapoint for the time series mean : float location parameter for the Poisson distribution scale : float scale parameter for the Poisson distribution shape : float tail thickness parameter for the Poisson distribution skewness : float skewness parameter for the Poisson distribution Returns - Adjusted score of the Poisson family """

        return (y-mean)/float(mean)