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.
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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Related questions
Question
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
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