3.) Consider the following two-way classification of 500 individuals: Prominent Wrinkles 95 Wrinkles Not Prominent 55 Heavy Smoker Light or Nonsmoker 100 250 One individual is selected at random. a.) Given that the individual is a heavy smoker, what is the probability that he/she has prominent wrinkles? b.) What is the probability that the selected individual is a heavy smoker or has prominent wrinkles?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

Help with A and B

3.) Consider the following two-way classification of 500 individuals:
Prominent Wrinkles
Wrinkles Not Prominent
Heavy Smoker
Light or Nonsmoker
95
55
100
250
One individual is selected at random.
a.) Given that the individual is a heavy smoker, what is the probability that he/she has prominent
wrinkles?
b.) What is the probability that the selected individual is a heavy smoker or has prominent wrinkles?
Transcribed Image Text:3.) Consider the following two-way classification of 500 individuals: Prominent Wrinkles Wrinkles Not Prominent Heavy Smoker Light or Nonsmoker 95 55 100 250 One individual is selected at random. a.) Given that the individual is a heavy smoker, what is the probability that he/she has prominent wrinkles? b.) What is the probability that the selected individual is a heavy smoker or has prominent wrinkles?
Expert Solution
Step 1

3.

Given:

Total=500Number of heavy smokers=150Number of light or nonsmoker=350Number of prominent wrinkles=195Number of wrinkles not prominent=305

a)

The probability that he/she has prominent wrinkles given that the individual is a heavy smoker is obtained as below:

PProminent wrinkles|heavy smoker=PProminent wrinklesheavy smokerPheavy smoker=95500150500=95150=0.6333

Thus, the probability that he/she has prominent wrinkles given that the individual is a heavy smoker is 0.6333.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
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
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman