Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year, a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 55-year period, how many years are expected to have 6 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here? a. The probability is (Round to three decimal places as needed.) b. The expected number of years with 6 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 24HP
icon
Related questions
Topic Video
Question
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year.
a. Find the probability that, in a year, there will be 6 hurricanes.
b. In a 55-year period, how many years are expected to have 6 hurricanes?
c. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here?
a. The probability is
(Round to three decimal places as needed.)
b. The expected number of years with 6 hurricanes is.
(Round to one decimal place as needed.)
c. The result from part (b) is
the number of hurricanes in the recent period of 55 years, so the Poisson distribution
appear to work well in the given situation.
close to
very different from
Transcribed Image Text:Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year. a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 55-year period, how many years are expected to have 6 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here? a. The probability is (Round to three decimal places as needed.) b. The expected number of years with 6 hurricanes is. (Round to one decimal place as needed.) c. The result from part (b) is the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation. close to very different from
Question Help ▼
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year.
a. Find the probability that, in a year, there will be 6 hurricanes.
b. In a 55-year period, how many years are expected to have 6 hurricanes?
c. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here?
a. The probability is.
(Round to three decimal places as needed.)
b. The expected number of years with 6 hurricanes is.
(Round to one decimal place as needed.)
c. The result from part (b) is
the number of hurricanes in the recent period of 55 years, so the Poisson distribution
appear to work well in the given situation.
does
does not
Transcribed Image Text:Question Help ▼ Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year. a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 55-year period, how many years are expected to have 6 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here? a. The probability is. (Round to three decimal places as needed.) b. The expected number of years with 6 hurricanes is. (Round to one decimal place as needed.) c. The result from part (b) is the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation. does does not
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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