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Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) OA. Every year will have at least hurricane(s). OB. The average number of major hurricanes per year is hurricane(s). OC. The most common number of major hurricanes per year is hurricane(s).

Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) OA. Every year will have at least hurricane(s). OB. The average number of major hurricanes per year is hurricane(s). OC. The most common number of major hurricanes per year is hurricane(s).

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
Section10.5: Comparing Sets Of Data
Problem 3BGP
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### Distribution of Major Hurricanes This section provides a probability distribution for the number of major hurricanes, \( X \), for a randomly selected year between 1851 and 2017. Complete the following analysis based on the data provided. #### Task: a. Find and interpret the mean of the random variable \( \mu \). ```plaintext \mu = 2.175 (Round to three decimal places as needed) ``` b. Find the standard deviation of the random variable \( \sigma \). ```plaintext \sigma = 1.303 (Round to three decimal places as needed) ``` #### Analysis Questions: 1. Interpret the mean value in context of the data. - The average number of major hurricanes per year is approximately 2.175. 2. Interpret the standard deviation in context of the data. - The typical deviation from the average number of major hurricanes per year is approximately 1.303, indicating variability in the yearly counts. 3. The Table: - The table provided shows the probability distribution of the major hurricanes. #### Probability Distribution Table: The table below displays \( X \) as the number of major hurricanes and \( P(X) \) as the probability of occurrence. | X | P(X) | |----|-------| | 0 | 0.042 | | 1 | 0.125 | | 2 | 0.258 | | 3 | 0.272 | | 4 | 0.142 | | 5 | 0.092 | | 6 | 0.042 | | 7 | 0.021 | | 8 | 0.005 | From this table, it is evident that: - The most common number of major hurricanes in a year is 3. - The likelihood of having no major hurricanes in a given year is 4.2%. This study helps to understand the historical distribution and frequency of major hurricanes in the specified period.
Transcribed Image Text:### Distribution of Major Hurricanes This section provides a probability distribution for the number of major hurricanes, \( X \), for a randomly selected year between 1851 and 2017. Complete the following analysis based on the data provided. #### Task: a. Find and interpret the mean of the random variable \( \mu \). ```plaintext \mu = 2.175 (Round to three decimal places as needed) ``` b. Find the standard deviation of the random variable \( \sigma \). ```plaintext \sigma = 1.303 (Round to three decimal places as needed) ``` #### Analysis Questions: 1. Interpret the mean value in context of the data. - The average number of major hurricanes per year is approximately 2.175. 2. Interpret the standard deviation in context of the data. - The typical deviation from the average number of major hurricanes per year is approximately 1.303, indicating variability in the yearly counts. 3. The Table: - The table provided shows the probability distribution of the major hurricanes. #### Probability Distribution Table: The table below displays \( X \) as the number of major hurricanes and \( P(X) \) as the probability of occurrence. | X | P(X) | |----|-------| | 0 | 0.042 | | 1 | 0.125 | | 2 | 0.258 | | 3 | 0.272 | | 4 | 0.142 | | 5 | 0.092 | | 6 | 0.042 | | 7 | 0.021 | | 8 | 0.005 | From this table, it is evident that: - The most common number of major hurricanes in a year is 3. - The likelihood of having no major hurricanes in a given year is 4.2%. This study helps to understand the historical distribution and frequency of major hurricanes in the specified period.
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