Homework Help is Here – Start Your Trial Now!
Math
Statistics
d. The cardio was for a medium or long time. e. The cardio was for a short time or a bike ride. f. The cardio was from walking given it was a short time. g. The cardio was for a medium time given it was skating.

d. The cardio was for a medium or long time. e. The cardio was for a short time or a bike ride. f. The cardio was from walking given it was a short time. g. The cardio was for a medium time given it was skating.

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
Problem 1P
See similar textbooks
icon
Related questions
Question
9. D 9. E 9. F 9.g
**Exercise Problem: Probability and Cardio Activities** The table below represents a set of 88 cardio exercises categorized by activity type and duration. Your task is to calculate the probability of selecting a particular exercise that matches a specific description. Be sure to round your answers to 3 decimal places or present them as a percentage with one digit past the decimal. Don't forget to show your work! | | Walk | Skate | Bike | Total | |-------------|------|-------|------|-------| | **Short** | 8 | 3 | 22 | 33 | | **Medium** | 7 | 15 | 18 | 40 | | **Long** | 2 | 4 | 9 | 15 | | **Total** | 17 | 22 | 49 | 88 | **Questions:** a. What is the probability that the cardio was a long bike ride? b. What is the probability that the cardio was a walk? c. What is the probability that the cardio involved skating or was of a short duration? d. What is the probability that the cardio was for a medium or long duration? e. What is the probability that the cardio was of a short duration or involved biking? f. Given that the cardio was of a short duration, what is the probability that it involved walking? g. Given that the cardio involved skating, what is the probability that it was for a medium duration? **Instructions for Filling the Answers:** - **Box a**: Calculate the probability by dividing the number of long bike rides by the total exercises. - **Box b**: Determine the probability by dividing the total number of walks by the total exercises. - **Box c**: Add the probabilities of skating and short exercises, ensuring no double-counting. - **Box d**: Sum the probabilities of medium and long exercises. - **Box e**: Sum probabilities of short exercises and biking. - **Box f**: Determine conditional probability for walking given a short exercise. - **Box g**: Find conditional probability for a medium duration given the exercise involved skating. Compute these probabilities based on the counts provided in the table above to obtain accurate results.
Transcribed Image Text:**Exercise Problem: Probability and Cardio Activities** The table below represents a set of 88 cardio exercises categorized by activity type and duration. Your task is to calculate the probability of selecting a particular exercise that matches a specific description. Be sure to round your answers to 3 decimal places or present them as a percentage with one digit past the decimal. Don't forget to show your work! | | Walk | Skate | Bike | Total | |-------------|------|-------|------|-------| | **Short** | 8 | 3 | 22 | 33 | | **Medium** | 7 | 15 | 18 | 40 | | **Long** | 2 | 4 | 9 | 15 | | **Total** | 17 | 22 | 49 | 88 | **Questions:** a. What is the probability that the cardio was a long bike ride? b. What is the probability that the cardio was a walk? c. What is the probability that the cardio involved skating or was of a short duration? d. What is the probability that the cardio was for a medium or long duration? e. What is the probability that the cardio was of a short duration or involved biking? f. Given that the cardio was of a short duration, what is the probability that it involved walking? g. Given that the cardio involved skating, what is the probability that it was for a medium duration? **Instructions for Filling the Answers:** - **Box a**: Calculate the probability by dividing the number of long bike rides by the total exercises. - **Box b**: Determine the probability by dividing the total number of walks by the total exercises. - **Box c**: Add the probabilities of skating and short exercises, ensuring no double-counting. - **Box d**: Sum the probabilities of medium and long exercises. - **Box e**: Sum probabilities of short exercises and biking. - **Box f**: Determine conditional probability for walking given a short exercise. - **Box g**: Find conditional probability for a medium duration given the exercise involved skating. Compute these probabilities based on the counts provided in the table above to obtain accurate results.
Expert Solution
Step 1
  walk skate bike total
short 8 3 22 33
medium 7 15 18 40
long 2 4 9 15
total 17 22 49 88
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS