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A certain hurricane database extends back to 1851, recording among other data the number of major hurricanes (measuring at least a Category 3) striking a ce region per year. The following table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 201 Complete parts (a) through (f) below. y P(Y=y) y P(Y=y) D 0 0.182 5 0.041 1 0.253 6 0.038 2 0.262 7 0.008 3 0.088 8 0.097 4 0.031 b. Use random-variable notation to represent the event that the year had exactly five major hurricanes. Select the correct choice below and fill in the answer box within your choice. A P B. (Y=5} c. Use random-variable notation to represent the event that the year had between 5 and 7 major hurricanes, inclusive. Select the correct choice below and fill in the answer box within your choice. OA OB. P Clear all Help me solve this Get more help - View an example

A certain hurricane database extends back to 1851, recording among other data the number of major hurricanes (measuring at least a Category 3) striking a ce region per year. The following table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 201 Complete parts (a) through (f) below. y P(Y=y) y P(Y=y) D 0 0.182 5 0.041 1 0.253 6 0.038 2 0.262 7 0.008 3 0.088 8 0.097 4 0.031 b. Use random-variable notation to represent the event that the year had exactly five major hurricanes. Select the correct choice below and fill in the answer box within your choice. A P B. (Y=5} c. Use random-variable notation to represent the event that the year had between 5 and 7 major hurricanes, inclusive. Select the correct choice below and fill in the answer box within your choice. OA OB. P Clear all Help me solve this Get more help - View an example

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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--- ### Educational Resource on Probability Distribution of Major Hurricanes #### Understanding Probability Distribution in the Context of Major Hurricanes A given hurricane database extends back to 1851, recording among other factors, the number of major hurricanes (measuring at least Category 3) per year. This data is vital for various predictive models and understanding climatic changes over numerous years. Below, we will utilize probabilistic notation to interpret the provided data set. **The Data Table:** The table below shows the probability distribution for the number of major hurricanes (Y) in a given year. | Y | P(Y = y) | |----|----------| | 0 | 0.261 | | 1 | 0.319 | | 2 | 0.225 | | 3 | 0.098 | | 4 | 0.038 | | 5 | 0.033 | | 6 | 0.012 | | 7 | 0.009 | Here’s how to interpret this: - `Y` represents the number of major hurricanes in a year. - `P(Y = y)` is the probability of having `y` major hurricanes in a year. **Step-by-Step Guide** on Using Traditional Probabilistic Notation: 1. **Notations for Events:** - Let A be the event that the year had exactly 1 major hurricane. - Let B be the event that the year had at least 5 major hurricanes. 2. **Expressions:** - Use traditional notation to represent the event A. - Event A: \( P(Y = 1) \) - From the table: \( P(Y = 1) = 0.319 \) - Use traditional notation to represent the event B. - Event B: \( P(Y \geq 5) \) - Calculate using the table: \[ P(Y = 5) = 0.033 \] \[ P(Y = 6) = 0.012 \] \[ P(Y = 7) = 0.009 \] \[ P(Y \geq 5) = 0.033 + 0.012 + 0.009 = 0.054 \] #### Example Question for Practice: - Calculate the probability of having at
Transcribed Image Text:--- ### Educational Resource on Probability Distribution of Major Hurricanes #### Understanding Probability Distribution in the Context of Major Hurricanes A given hurricane database extends back to 1851, recording among other factors, the number of major hurricanes (measuring at least Category 3) per year. This data is vital for various predictive models and understanding climatic changes over numerous years. Below, we will utilize probabilistic notation to interpret the provided data set. **The Data Table:** The table below shows the probability distribution for the number of major hurricanes (Y) in a given year. | Y | P(Y = y) | |----|----------| | 0 | 0.261 | | 1 | 0.319 | | 2 | 0.225 | | 3 | 0.098 | | 4 | 0.038 | | 5 | 0.033 | | 6 | 0.012 | | 7 | 0.009 | Here’s how to interpret this: - `Y` represents the number of major hurricanes in a year. - `P(Y = y)` is the probability of having `y` major hurricanes in a year. **Step-by-Step Guide** on Using Traditional Probabilistic Notation: 1. **Notations for Events:** - Let A be the event that the year had exactly 1 major hurricane. - Let B be the event that the year had at least 5 major hurricanes. 2. **Expressions:** - Use traditional notation to represent the event A. - Event A: \( P(Y = 1) \) - From the table: \( P(Y = 1) = 0.319 \) - Use traditional notation to represent the event B. - Event B: \( P(Y \geq 5) \) - Calculate using the table: \[ P(Y = 5) = 0.033 \] \[ P(Y = 6) = 0.012 \] \[ P(Y = 7) = 0.009 \] \[ P(Y \geq 5) = 0.033 + 0.012 + 0.009 = 0.054 \] #### Example Question for Practice: - Calculate the probability of having at
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