In an insurance portfolio, the frequency distribution of the cost of claims, in terms of 1,000monetary units, occurring in a given period has been:Cost of the Claim(X)(1000 m. unitsscale)ni:Number of claims with the amountX0-151-2112-3163-4574-5795-6916-7717-8458-9339-101010-11711-122TOTAL4271)

Analyze which of the models: normal, gamma, exponential and inverseGaussian better fits this empirical distribution through the test ofChi-square goodness of fit (p-value), for a significance level of 5%.2)Given that it is estimated that next year the cost of a claim will be 4%higher, calculate the probability that an incident occurred, its amount exceeding10,400monetary units,applyingthe model finally selected in section 1)