Homework Help is Here – Start Your Trial Now!
Math
Statistics
This cumulative review problem uses material from Chapters 3, 5, and 10. Recall that the Poisson distribution deals with rare events. Death from the kick of a horse is a rare event, even in the Prussian army. The following data are a classic example of a Poisson application to rare events. The data represent the number of deaths from the kick of a horse per army corps per year for 10 Prussian army corps over a period of time. Let x represent the number of deaths and f the frequency of x deaths. x 0 1 2 3 or more f 109 66 21 4 (a) First, we fit the data to a Poisson distribution.The Poission distribution states  P(x) =  e−λλx x! ,  where  λ ≈ x  (sample mean of x values). From our study of weighted averages, we get the following. x =  Σxf Σf Verify that  x = 0.6.  Hint: For the category 3 or more, use 3. x =  (b) Now we have  P(x) =  e−0.6(0.6)x x!  for  x = 0, 1, 2, 3  .  Find  P(0),   P(1),   P(2),  and  P(3 ≤ x).  Round to three places after the decimal. P(0) =   P(1) =   P(2) =   P(3 ≤ x) =

This cumulative review problem uses material from Chapters 3, 5, and 10. Recall that the Poisson distribution deals with rare events. Death from the kick of a horse is a rare event, even in the Prussian army. The following data are a classic example of a Poisson application to rare events. The data represent the number of deaths from the kick of a horse per army corps per year for 10 Prussian army corps over a period of time. Let x represent the number of deaths and f the frequency of x deaths. x 0 1 2 3 or more f 109 66 21 4 (a) First, we fit the data to a Poisson distribution.The Poission distribution states  P(x) =  e−λλx x! ,  where  λ ≈ x  (sample mean of x values). From our study of weighted averages, we get the following. x =  Σxf Σf Verify that  x = 0.6.  Hint: For the category 3 or more, use 3. x =  (b) Now we have  P(x) =  e−0.6(0.6)x x!  for  x = 0, 1, 2, 3  .  Find  P(0),   P(1),   P(2),  and  P(3 ≤ x).  Round to three places after the decimal. P(0) =   P(1) =   P(2) =   P(3 ≤ x) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
See similar textbooks
icon
Related questions
Topic Video
Question

This cumulative review problem uses material from Chapters 3, 5, and 10. Recall that the Poisson distribution deals with rare events. Death from the kick of a horse is a rare event, even in the Prussian army. The following data are a classic example of a Poisson application to rare events. The data represent the number of deaths from the kick of a horse per army corps per year for 10 Prussian army corps over a period of time. Let x represent the number of deaths and f the frequency of x deaths.

x 0 1 2 3 or more
f 109 66 21 4
(a) First, we fit the data to a Poisson distribution.

The Poission distribution states 
P(x) = 
e−λλx
x!
,
 where 
λ ≈ x
 (sample mean of x values). From our study of weighted averages, we get the following.
x = 
Σxf
Σf
Verify that 
x = 0.6.
 Hint: For the category 3 or more, use 3.
x = 


(b) Now we have 
P(x) = 
e−0.6(0.6)x
x!
 for 
x = 0, 1, 2, 3  .
 Find 
P(0),
 
P(1),
 
P(2),
 and 
P(3 ≤ x).
 Round to three places after the decimal.
P(0) =  
P(1) =  
P(2) =  
P(3 ≤ x) =  
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS