Question

In: Statistics and Probability

In analyzing hits by bombs in a past war, a city was subdivided into 487 regions,...

In analyzing hits by bombs in a past war, a city was subdivided into 487 regions, each with an area of 1-mi². A total of 389 bombs hit the combined area of 487 regions. The Poisson distribution applies because we are dealing with the occurrences of an event (bomb hits) over some interval (a region with area of 1-mi².

Find the mean number of hits per region:
mean =

Find the standard deviation of hits per region:
standard deviation =

If a region is randomly selected, find the probability that it was hit exactly twice.
(Report answer accurate to 4 decimal places.)
P(X=2)=P(X=2)=

Based on the probability found above, how many of the 487 regions are expected to be hit exactly twice?
(Round answer to a whole number.)
ans =

If a region is randomly selected, find the probability that it was hit at most twice.
(Report answer accurate to 4 decimal places.)
P(X≤2)=P(X≤2)=

Solutions

Expert Solution

POISSION DISTRIBUTON: IT IS A DESCRETE FREQUENCY DISTRIBUTION WHICH GIVES THE PROBABILITY OF A NUMBER OF INDEPENDENT EVENTS IN A FIXED TIME.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

In analyzing hits by bombs in a past war, a city was subdivided into 457 regions,...
In analyzing hits by bombs in a past war, a city was subdivided into 457 regions, each with an area of 0.25-km². A total of 356 bombs hit the combined area of 457 regions. The Poisson distribution applies because we are dealing with the occurrences of an event (bomb hits) over some interval (a region with area of 0.25-km².
In analyzing hits by bombs in a past war, a city was subdivided into 457 regions,...
In analyzing hits by bombs in a past war, a city was subdivided into 457 regions, each with an area of 0.25-km². A total of 356 bombs hit the combined area of 457 regions. The Poisson distribution applies because we are dealing with the occurrences of an event (bomb hits) over some interval (a region with area of 0.25-km².
In analyzing hits by bombs in a past war, a city was subdivided into 471 regions,...
In analyzing hits by bombs in a past war, a city was subdivided into 471 regions, each with an area of 0.5-km². A total of 390 bombs hit the combined area of 471 regions. The Poisson distribution applies because we are dealing with the occurrences of an event (bomb hits) over some interval (a region with area of 0.5-km².
Was the dropping of the Atomic bombs necessary to end the war? Why or why not?
Was the dropping of the Atomic bombs necessary to end the war? Why or why not?
Joey Louzeshot is practicing his dart throwing skills. In the past, he hits the bullseye on...
Joey Louzeshot is practicing his dart throwing skills. In the past, he hits the bullseye on the target only one time for every 200 throws. To practice, he will throw darts on Sunday and Monday. e) On Monday, Joey will practice by throwing the dart until hits the bullseye, then he will quit practicing. Let A be the number of attempts until he hits the bullseye. What are the distribution, parameter(s) and support of A? f) What is the expected...
For the past 112112 ​years, a certain state suffered 2828 direct hits from major​ (category 3...
For the past 112112 ​years, a certain state suffered 2828 direct hits from major​ (category 3 to​ 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution. Complete parts​ (a) through​ (d). ​(a) What is the probability that the state will not be hit by any major hurricanes in a single​ year? The probability is 1-The number of hits to a website follows a Poisson process. Hits occur at the rate of...
For the past 104 ​years, a certain state suffered 27 direct hits from major​ (category 3...
For the past 104 ​years, a certain state suffered 27 direct hits from major​ (category 3 to​ 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution. Complete parts​ (a) through​ (d). a) What is the probability that the state will not be hit by any major hurricanes in a single​ year? The probability is nothing.​ (Round to four decimal places as​ needed.) ​(b) What is the probability that the state will...
You are analyzing the returns of a mutual fund portfolio for the past 5 years. Year...
You are analyzing the returns of a mutual fund portfolio for the past 5 years. Year Return 2014 -30% 2015 -25% 2016 40% 2017 -10% 2018 15% Question 7: Use Excel to compute the VaR at the 1% level (you can write the Excel formula as your work).
You are analyzing the returns of a mutual fund portfolio for the past 5 years. Year...
You are analyzing the returns of a mutual fund portfolio for the past 5 years. Year Return 2014 -30% 2015 -25% 2016 40% 2017 -10% 2018 15% Question 6: What is the standard deviation of the returns?   29.28% Question 7:  Use Excel to compute the VaR at the 1% level (you can write the Excel formula as your work). Answer Question 7 plz
During the World War II, rockets were fired to attack the city of London. To manage...
During the World War II, rockets were fired to attack the city of London. To manage the crisis, London was subdivided into many identical regions. Ambulances and fire fighters were assigned in each region to observe the number of rocket hits while providing rescue. At the same time, statisticians predicted the number of rocket hits follows Poisson distribution. Using goodness of fit test, test whether or not the number of rocket hits follows a Poisson distribution at α=5%. Number of...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT