Question

Use the Poisson distribution to find the indicated probabilities. In Exercise 1 we noted that in analyzing hits by Vxad1 buzz bombs in World War II, South London was partitioned into 576 regions, each with an area of 0.25 km 2 . A total of 535 bombs hit the combined area of 576 regions. a. Find the probability that a randomly selected region had exactly 2 hits. b. Among the 576 regions, find the expected number of regions with exactly 2 hits.

          Use the Poisson distribution to find the indicated probabilities.
In Exercise 1 we noted that in analyzing hits by Vxad1 buzz bombs in World War II, South London was partitioned into 576 regions, each with an area of 0.25 km 2 . A total of 535 bombs hit the combined area of 576 regions.
a. Find the probability that a randomly selected region had exactly 2 hits.
b. Among the 576 regions, find the expected number of regions with exactly 2 hits.

Added by William F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Akhil Choudhary

03/19/2022

Step 1

First, we need to find the average number of hits per region. Since there were 535 bombs and 576 regions, the average number of hits per region is: $\lambda = \frac{535}{576}$ Show more…

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Use the Poisson distribution to find the indicated probabilities. In Exercise 1 we noted that in analyzing hits by Vxad1 buzz bombs in World War II, South London was partitioned into 576 regions, each with an area of 0.25 km 2 . A total of 535 bombs hit the combined area of 576 regions. a. Find the probability that a randomly selected region had exactly 2 hits. b. Among the 576 regions, find the expected number of regions with exactly 2 hits.