An insurance company's records for a one-year period show the number of accidents per day that...

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An insurance company's records for a one-year period show the number of accidents per day that resulted in a claim to the insurance company for a particular insurance coverage. The results are as follows: Number of Claims per Day 0 1 2 3 4 5 or more Observed Number of Days 52 102 114 67 30 0 (a) Fit a binomial distribution with parameters m = 5 and unknown 9 to these data using the method of maximum likelihood. (b) Conduct a chi-square goodness of fit test, at a significance level of 10%, to determine whether these data come from the binomial distribution in (a). For this test, re-group these data, by number of claims per day, into the maximum number of groups such that the expected number of claims in each group is at least five. An insurance company's records for a one-year period show the number of accidents per day that resulted in a claim to the insurance company for a particular insurance coverage. The results are as follows: Number of Claims per Day 0 1 2 3 4 5 or more Observed Number of Days 52 102 114 67 30 0 (a) Fit a binomial distribution with parameters m = 5 and unknown 9 to these data using the method of maximum likelihood. (b) Conduct a chi-square goodness of fit test, at a significance level of 10%, to determine whether these data come from the binomial distribution in (a). For this test, re-group these data, by number of claims per day, into the maximum number of groups such that the expected number of claims in each group is at least five.