Let X denote the number of flaws observed on a large coil of galvanized steel. Seventy-five coils are inspected and the following data were observed for the values of X:,Values 1 2 3 4 5 6 7 8,Observed,Frequency 1 11 8 13 11 12 10 9,(a) Does the assumption of the Poisson distribution seem appropriate as a probability model for this data? Use a = 0.01.,(b) Calculate the P-value for this test.

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