(a) Fit a Poisson distribution to the above data, using the method of maximum likelihood. (b) Group the data by number of claims per day into four groups: 1 2 3 3 or more Apply the chi-square goodness-of-fit test to evaluate the null hypothesis that the claims follow a Poisson distribution. Determine the result of the chi-square test.

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3. The following observed claim frequency data is collected over a period of 365 days by
the XJTLU insurance company:
Number of Claims per Day Observed Number of Days
0
50
122
101
1
2
3
4+
92
0
As a junior data analyst in this company, you are asked to complete the following task
by your manager:
(a) Fit a Poisson distribution to the above data, using the method of maximum
likelihood.
(b) Group the data by number of claims per day into four groups: 1 2 3 3 or more
Apply the chi-square goodness-of-fit test to evaluate the null hypothesis that the
claims follow a Poisson distribution. Determine the result of the chi-square test.
Transcribed Image Text:3. The following observed claim frequency data is collected over a period of 365 days by the XJTLU insurance company: Number of Claims per Day Observed Number of Days 0 50 122 101 1 2 3 4+ 92 0 As a junior data analyst in this company, you are asked to complete the following task by your manager: (a) Fit a Poisson distribution to the above data, using the method of maximum likelihood. (b) Group the data by number of claims per day into four groups: 1 2 3 3 or more Apply the chi-square goodness-of-fit test to evaluate the null hypothesis that the claims follow a Poisson distribution. Determine the result of the chi-square test.
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