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Stats STA 2023 Chapter 5 Quiz Questions and Complete Solutions Graded A+
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Stats STA 2023 Chapter 5 Quiz Questions and Complete Solutions Graded A+
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Stats STA 2023 Chapter5 Quiz Questions and
Complete Solutions
Graded A+
In analyzing hits by certain bombs in a war, an area was partitioned into 580 regions, each with an area
of 0.55 km2. A total of 525 bombs hit the combined area of 580 regions. Assume that we want to find
the probability that a randomly selected region had exactly 3 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.
Find the Mean (u) X and e - Answer: u | 525/580 = 0.90517
x=3
e = 2.71828 (always the same)
Briefly describe what the symbol μ represents. Choose the correct answer below (5.3.1) - Answer: The
symbol μ is a variable that represents the mean number of occurrences of the event in the intervals.
Briefly describe what the symbol x represents. Choose the correct answer below. (5.3.1) - Answer: The
symbol x is a variable that represents the number of occurrences of the event in an interval.
Briefly describe what the symbol e represents. Choose the correct answer below. - Answer: The symbol
e represents a static value.
5.3.5
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is
6.8 per year.
, a. Find the probability that, in a year, there will be 4 hurricanes.
b. In a 35-year period, how many years are expected to have 4 hurricanes?
c. How does the result from part (b) compare to a recent period of 35 years in which 4 years had
hurricanes? Does the Poisson distribution work well here? - Answer: Use StatCruch
Poisson Calculator
Enter the Mean
Enter the number of events (change to =)
A) 6.8 and = 4 = .0992
B) To find the expected number of events in an interval, multiply the probability of the event in a single
interval by the number of intervals that the larger interval is composed of.
35*.0992 = 3.465 (3.5)
c) Close to and does
5.3.12
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of
59 homicides. After finding the mean number of homicides per city-year, find the probability that a
randomly selected city-year has the following numbers of homicides, then compare the actual results to
those expected by using the Poisson probabilities: - Answer: Find the Mean First
59/280 = 0.21071
Than Use StatCruch
Poisson Calculator
Enter the Mean from above
Enter the number of events (change to =)
a) mean=0.21071 and = 0 = .8100
b) mean=0.21071 and = 1 = .1707
c) mean=0.21071 and = 2 = .0179
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