Question

According to the U.S. National Center for Health Statistics, in $2002,0.2 \%$ of deaths in the United States were 25 - to 34 -year-olds whose cause of death was cancer. In addition, $1.97 \%$ of all those who died were 25 to 34 years old. What is the probability that a randomly selected death is the result of cancer if the individual is known to have been 25 to 34 years old?

Name: Problem 14, Chapter 5: Fundamentals of Statistics
Uploaded: 2021-06-18T09:01:30-08:00
Duration: 1 min 43 s
Channel: Manisha Sarker
Description: According to the U.S. National Center for Health Statistics, in 2002,0.2 % of deaths in the United States were 25 - to 34 -year-olds whose cause of death was cancer. In addition, 1.97 % of all those who died were 25 to 34 years old. What is the probability that a randomly selected death is the result of cancer if the individual is known to have been 25 to 34 years old?

   According to the U.S. National Center for Health Statistics, in $2002,0.2 \%$ of deaths in the United States were 25 - to 34 -year-olds whose cause of death was cancer. In addition, $1.97 \%$ of all those who died were 25 to 34 years old. What is the probability that a randomly selected death is the result of cancer if the individual is known to have been 25 to 34 years old?

Fundamentals of Statistics

Michael Sullivan III 5th Edition

Chapter 5, Problem 14

Instant Answer

Solved by Expert Manisha Sarker

06/18/2021

Step 1

Let E be the event that the individual is between 25-34 years old and C be the event that the cause of death was cancer. Show more…

Show all steps

Thanks for your feedback!

According to the U.S. National Center for Health Statistics, in $2002,0.2 \%$ of deaths in the United States were 25 - to 34 -year-olds whose cause of death was cancer. In addition, $1.97 \%$ of all those who died were 25 to 34 years old. What is the probability that a randomly selected death is the result of cancer if the individual is known to have been 25 to 34 years old?

Play audio

Feedback

Manisha Sarker and 83 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Probability Ratio and Percentage Conversion

When dealing with percentages, it is important to convert them into decimal form to perform accurate calculations. In this problem, the given percentages represent proportions of the overall population, and their ratio provides the conditional probability. Understanding how to correctly handle and interpret these ratios is essential for solving problems involving demographic data and probability.

Conditional Probability

Conditional probability is the likelihood of an event occurring given that another event has already occurred. In problems like this, it involves dividing the probability of the intersection of two events by the probability of the given condition. This concept is fundamental in statistics and probability theory, allowing us to update our understanding of the chance of an outcome under a specific condition.

Please give Ace some feedback