Example 1: Conditional Probabilities and Two-Way Tables Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. They asked each person whether he or she owned, rented, or had never used a snowmobile. Respondents were also asked whether or not they belonged to an environmental organization (like the Sierra Club). The two-way table summarizes the survey responses. Environmental Club Snowmobile Experience Never used Renter Owner Total No 445 497 279 1221 Yes 212 77 16 305 Total 657 574 295 1526 Suppose we randomly select one of the survey respondents. Define events E: environmental club member, S: snowmobile owner, and N: never used. a) Find P(NE). Interpret this value in context. b) Given that the chosen person is not a snowmobile owner, what's the probability that she or he is an environmental club member? Write your answer as a probability statement using correct symbols for the events.

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
Question
The whole thing would be read: probability of event B
Also, the probability that event B occurs
Notation
and
P(male given pierced ear) as PC
We can rewrite the answers to the two questions from before as:
= PC
P(pierced ear given male) as PC
)=P(
Snowmobile
Experience
Never used
Renter
Owner
Total
Example 1: Conditional Probabilities and Two-Way Tables
Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. They
asked each person whether he or she owned, rented, or had never used a snowmobile.
Respondents were also asked whether or not they belonged to an environmental organization
(like the Sierra Club). The two-way table summarizes the survey responses.
Environmental Club
No
445
497
279
1221
event A has
Yes
212
77
16
305
Hatching
Status
Hatched
Didn't hatch
event A.
Total
657
574
295
1526
Suppose we randomly select one of the survey respondents.
Define events E: environmental club member, S: snowmobile owner, and N: never used.
a) Find P(NE). Interpret this value in context.
=
b)
Given that the chosen person is not a snowmobile owner, what's the probability that she
or he is an environmental club member? Write your answer as a probability statement
using correct symbols for the events.
Suppose we select one of the eggs at random.
Try it on your own #1
How is the hatching of water python eggs influenced by the temperature of the snake's nest?
Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral,
or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the
absence of the mother.
Nest Temperature
Cold
16
11
)=19/
= 19/
Neutral
38
18
Hot
75
29
Approaching MA.912.DP.4.7
at is the
Transcribed Image Text:The whole thing would be read: probability of event B Also, the probability that event B occurs Notation and P(male given pierced ear) as PC We can rewrite the answers to the two questions from before as: = PC P(pierced ear given male) as PC )=P( Snowmobile Experience Never used Renter Owner Total Example 1: Conditional Probabilities and Two-Way Tables Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. They asked each person whether he or she owned, rented, or had never used a snowmobile. Respondents were also asked whether or not they belonged to an environmental organization (like the Sierra Club). The two-way table summarizes the survey responses. Environmental Club No 445 497 279 1221 event A has Yes 212 77 16 305 Hatching Status Hatched Didn't hatch event A. Total 657 574 295 1526 Suppose we randomly select one of the survey respondents. Define events E: environmental club member, S: snowmobile owner, and N: never used. a) Find P(NE). Interpret this value in context. = b) Given that the chosen person is not a snowmobile owner, what's the probability that she or he is an environmental club member? Write your answer as a probability statement using correct symbols for the events. Suppose we select one of the eggs at random. Try it on your own #1 How is the hatching of water python eggs influenced by the temperature of the snake's nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. Nest Temperature Cold 16 11 )=19/ = 19/ Neutral 38 18 Hot 75 29 Approaching MA.912.DP.4.7 at is the
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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