Question

In analyzing hits by certain bombs in a​ war, an area was partitioned into ​regions, each with an area of km2. A total of bombs hit the combined area of regions. Assume that we want to find the probability that a randomly selected region had exactly hits. In applying the Poisson probability distribution​ formula, ​P(x) ​, identify the values of ​, ​x, and . ​Also, briefly describe what each of those symbols represents.

Answer 1

The answer is "
`\bold{ \mu =0.967, x=3, \ and \ e= 2.718}`".

Explanation:

A distribution of poulet applies because it deals through events (bomb hits) over even a sample space (the region with
`0.95 \ km^2` area).

Its average hit number per area is:

`\to \mu = \frac{\text{Number of hits of bomb}}{ \text{number of regions number}}`

`=(535)/(553) \\\\= 0.967 \\\\`

`\to x = 3\\\\\to e = 2.718`