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Use the Poisson distribution to find the
Chapter 5, Problem 13BSC(choose chapter or problem)
Problem 13BSC
Use the Poisson distribution to find the indicated probabilities.
World War II Bombs In Exercise we noted that 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.
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.
c. How does the result from part (b) compare to this actual result: There were 93 regions that had exactly 2 hits?
Exercise
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.
Questions & Answers
QUESTION:
Problem 13BSC
Use the Poisson distribution to find the indicated probabilities.
World War II Bombs In Exercise we noted that 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.
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.
c. How does the result from part (b) compare to this actual result: There were 93 regions that had exactly 2 hits?
Exercise
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:Problem 13BSC
Answer:
Step1 of 1:
We have In Exercise we noted that 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.
Consider a random variable “x” follows poisson distribution with sample size “n” and parameter “”.
i,e.X P(
)
Probability mass function of poisson distribution is given by
P(x) =