The table shows the responses to the survey question, "Do you like homework?" for students taking either statistics or calculus. Do You Like Homework? YES NO ТОTAL Statistics 7 13 20 Calculus 12 18 30 TOTAL 19 31 50 Q1: If a student is selected at random, what is the probability that they said yes to the survey question and are taking calculus? Q2: If a student taking statistics is selected at random, what is the probability that they said yes to the survey question? Q3: What is the probability that a student selected at random answered yes to the survey question? Q4: If a student who answered yes to the survey question is selected at random, what is the probability that they are taking calculus?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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The table shows the responses to the survey question, "Do you like homework?" for students taking either statistics or calculus.
Do You Like Homework?
YES
NO
TOTAL
Statistics
7
13
20
Calculus
12
18
30
ТOTAL
19
31
50
Q1: If a student is selected at random, what is the probability that they said yes to the survey question and are taking calculus?
Q2: If a student taking statistics is selected at random, what is the probability that they said yes to the survey question?
Q3: What is the probability that a student selected at random answered yes to the survey question?
Q4: If a student who answered yes to the survey question is selected at random, what is the probability that they are taking calculus?
Transcribed Image Text:The table shows the responses to the survey question, "Do you like homework?" for students taking either statistics or calculus. Do You Like Homework? YES NO TOTAL Statistics 7 13 20 Calculus 12 18 30 ТOTAL 19 31 50 Q1: If a student is selected at random, what is the probability that they said yes to the survey question and are taking calculus? Q2: If a student taking statistics is selected at random, what is the probability that they said yes to the survey question? Q3: What is the probability that a student selected at random answered yes to the survey question? Q4: If a student who answered yes to the survey question is selected at random, what is the probability that they are taking calculus?
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