1 CRE

Notation In analyzing hits by V-l buzz bombs in World War II, South London was partitioned into 576 regions, each with an area of 0.25 km2. A total of 535 bombs hit the combined area of 576 regions. Assume that we want to find the probability that a randomly selected region had exactly two hits. In applying Formula 5-9, identify the values of µ, x, and e. Also, briefly describe what each of those symbols represents.

Answer :

Step 1 of 1:

Given South London was partitioned into 576 regions, each with an area of 0.25 km2.

A total of 535 bombs hit the combined area of 576 regions.

Then we have to find the mean number of hits per region.

The mean number of hits per region is

we know that number of bomb hits is 535 and

The total number of region is 576.

Then,

Therefore the mean number of hits per region is 0.928

Let the probability that a randomly selected region had exactly two hits.

So, x = 2.

Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is μ. Then, the Poisson probability is:

where...