In a book the characters are trying to determine whether the Poisson probabilist

Question

In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in a city. They divided the city into 0.25-km2 regions. They then counted the number of rockets that landed in each region, with the results shown in the table below. Complete parts (a) through (e) Number of rocket hits Observed number of regions 227 210 100 30 (a) Estimate the mean number of rocket hits in a region by computing -P(x) (Round to four decimal places as needed.)

Explanation / Answer

Mean number of hit:

Multiply x with given number of regions

So,

Mean = 0 * 227 + 1 * 210 + 2 * 100 + 3 * 30 + 4 * 8 + 5 * 0 + 6 * 0 + 7 * 1

Mean = 539

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