outside factors (14%). Outside factors a induced substances or foreign objects ccurrences are caused by arterial block nd infection. Suppose that 20 patients mergency room with heart failure. Assu es of heart failure between individuals a ent. the probability that 3 individuals have caused by outside factors? Round you o three decimal places (e.g. 0.987). y = s the probability that 3 or more individ litions caused by outside factors? Roun

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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**Heart Failure Probability and Statistics**

Heart failure can occur due to either natural occurrences (86%) or outside factors (14%). Outside factors are generally related to induced substances or foreign objects. Natural occurrences of heart failure are typically caused by arterial blockage, disease, and infection. Suppose that 20 patients visit an emergency room with heart failure. Assume that the causes of heart failure among individuals are independent.

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**Part (a): Probability Calculation**

**Question:** What is the probability that 3 individuals have conditions caused by outside factors? Round your answer to three decimal places (e.g., 0.987).

**Answer:**

Probability = [Input box]

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**Part (b): Probability for Multiple Individuals**

**Question:** What is the probability that 3 or more individuals have conditions caused by outside factors? Round your answer to three decimal places (e.g., 0.987).

**Answer:**

Probability = [Input box]

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**Part (c): Mean and Standard Deviation**

**Question:** What is the mean and standard deviation of the number of individuals with conditions caused by outside factors? Round your answers to three decimal places (e.g., 98.765).

**Answer:**

Mean = [Input box]

Standard deviation = [Input box]

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In these exercises, we explore probability concepts and statistical measures related to heart failure occurrences due to different factors, providing a practical application for understanding distributions and their characteristics within a medical context.
Transcribed Image Text:**Heart Failure Probability and Statistics** Heart failure can occur due to either natural occurrences (86%) or outside factors (14%). Outside factors are generally related to induced substances or foreign objects. Natural occurrences of heart failure are typically caused by arterial blockage, disease, and infection. Suppose that 20 patients visit an emergency room with heart failure. Assume that the causes of heart failure among individuals are independent. --- **Part (a): Probability Calculation** **Question:** What is the probability that 3 individuals have conditions caused by outside factors? Round your answer to three decimal places (e.g., 0.987). **Answer:** Probability = [Input box] --- **Part (b): Probability for Multiple Individuals** **Question:** What is the probability that 3 or more individuals have conditions caused by outside factors? Round your answer to three decimal places (e.g., 0.987). **Answer:** Probability = [Input box] --- **Part (c): Mean and Standard Deviation** **Question:** What is the mean and standard deviation of the number of individuals with conditions caused by outside factors? Round your answers to three decimal places (e.g., 98.765). **Answer:** Mean = [Input box] Standard deviation = [Input box] --- In these exercises, we explore probability concepts and statistical measures related to heart failure occurrences due to different factors, providing a practical application for understanding distributions and their characteristics within a medical context.
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