In a genetics experiment, investigators looked at 300 chromosomes of a particular type and counted the number of sister-chromatid exchanges on each ("On the Nature of Sister-Chromatid Exchanges in 5-Bromodeoxyuridine- Substituted Chromosomes," Genetics, 1979: 1251- 1264). A Poisson model was hypothesized for the distribution of the number of exchanges. Test the fit of a Poisson distribution to the data by first estimating m and then combining the counts for x = 8 and x = 9 into one cell.

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rNumber of Exchanges0 Observed Counts 2 3 4 5 6 78 9 6 24 42 59 62 44 41 14 6 2