Question 10.36 assigned to Akosua Boachie

A study examining bomb hits in South London during World War II is documented in the following table from the book A Handbook of Small Data Sets (Hand et al., 1993, p. 232). The bomb hits were recorded in the 576 grids in a map of a region in South London. The study contended that certain areas were less likely to be hit with a bomb because of certain geographical features. If the bomb hits were purely random, a Poisson model would produce the number of hits per grid.

number of bombs hits	number of grids
0	229
1	211
2	93
3	35
4	7
5	0
6	0
7	1

a. Does the distribution of bomb hits appear to be random across this region of South London?

b. State the null and research hypotheses for this study in terms of pi, the probability of i bomb hits in a grid.