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Name

qquad
Date

qquad Class 
qquad
Practice A
Two-Way Tables

The table shows the results of a survey of 100 randomly-selected people entering an amusement park who were asked whether they were planning to ride the Monster Loop, a rollercoaster. Make a table of joint and marginal relative frequencies. The table has been started or you






Ages 8-15
Ages 16-25
Ages 26-35
36 and Older


Yes
19
23
8
14


No
8
11
12
5









Ages 8-15
Ages 16-25
Ages 26-35
36 and Older
Total


Yes
0.19



0.64


No







Total




1





Thomas collected data on 25 randomly selected 17 -year-olds at his school, and summarized the results in a table.
Has a Driver's License
Has a Job






Yes
No


Yes
9
3


No
8
5




a. Make a table of the joint relative frequencies and marginal relative frequencies. Round to the nearest hundredth where appropriate. The table has been started for you.
Has a Driver's License
b. If you are given that a 17 -year-old has a job, what is the probability that the 17 -year-old also has a driver's license? Divide a joint relative frequency by a marginal relative frequency to find the answer. Round your answer to the nearest hundredth.
c. If you are given that a 17-year-old has a driver's license, what is the probability that the 17-year-old also has a job? Divide a joint relative frequency by a marginal relative frequency to find the answer. Round your answer to the nearest hundredth.
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Name\newline\quad\quad\newlineDate\newline\quad\quad Class \newline\quad\quad\newlinePractice A\newlineTwo-Way Tables\newlineThe table shows the results of a survey of 100100 randomly-selected people entering an amusement park who were asked whether they were planning to ride the Monster Loop, a rollercoaster. Make a table of joint and marginal relative frequencies. The table has been started or you\newline\newlineAges 8158-15\newlineAges 162516-25\newlineAges 263526-35\newline3636 and Older\newline\newlineYes\newline1919\newline2323\newline\quad\quad00\newline\quad\quad11\newline\newlineNo\newline\quad\quad00\newline\quad\quad33\newline\quad\quad44\newline\quad\quad55\newline\newline\newline\newlineAges 8158-15\newlineAges 162516-25\newlineAges 263526-35\newline3636 and Older\newlineTotal\newline\newlineYes\newline\quad\quad00\newline\newline\quad\quad11\newline\newlineNo\newline\newline\newlineTotal\newline\newline\quad\quad22\newline\newlineThomas collected data on \quad\quad33 randomly selected \quad\quad44-year-olds at his school, and summarized the results in a table.\newlineHas a Driver's License\newlineHas a Job\newline\newlineYes\newlineNo\newline\newlineYes\newline\quad\quad55\newline\quad\quad66\newline\newlineNo\newline\quad\quad00\newline\quad\quad55\newline\newlinea. Make a table of the joint relative frequencies and marginal relative frequencies. Round to the nearest hundredth where appropriate. The table has been started for you.\newlineHas a Driver's License\newlineb. If you are given that a \quad\quad44-year-old has a job, what is the probability that the \quad\quad44-year-old also has a driver's license? Divide a joint relative frequency by a marginal relative frequency to find the answer. Round your answer to the nearest hundredth.\newlinec. If you are given that a \quad\quad44-year-old has a driver's license, what is the probability that the \quad\quad44-year-old also has a job? Divide a joint relative frequency by a marginal relative frequency to find the answer. Round your answer to the nearest hundredth.\newlinePage 10010033

Full solution

Q. Name\newline\quad\quad\newlineDate\newline\quad\quad Class \newline\quad\quad\newlinePractice A\newlineTwo-Way Tables\newlineThe table shows the results of a survey of 100100 randomly-selected people entering an amusement park who were asked whether they were planning to ride the Monster Loop, a rollercoaster. Make a table of joint and marginal relative frequencies. The table has been started or you\newline\newlineAges 8158-15\newlineAges 162516-25\newlineAges 263526-35\newline3636 and Older\newline\newlineYes\newline1919\newline2323\newline\quad\quad00\newline\quad\quad11\newline\newlineNo\newline\quad\quad00\newline\quad\quad33\newline\quad\quad44\newline\quad\quad55\newline\newline\newline\newlineAges 8158-15\newlineAges 162516-25\newlineAges 263526-35\newline3636 and Older\newlineTotal\newline\newlineYes\newline\quad\quad00\newline\newline\quad\quad11\newline\newlineNo\newline\newline\newlineTotal\newline\newline\quad\quad22\newline\newlineThomas collected data on \quad\quad33 randomly selected \quad\quad44-year-olds at his school, and summarized the results in a table.\newlineHas a Driver's License\newlineHas a Job\newline\newlineYes\newlineNo\newline\newlineYes\newline\quad\quad55\newline\quad\quad66\newline\newlineNo\newline\quad\quad00\newline\quad\quad55\newline\newlinea. Make a table of the joint relative frequencies and marginal relative frequencies. Round to the nearest hundredth where appropriate. The table has been started for you.\newlineHas a Driver's License\newlineb. If you are given that a \quad\quad44-year-old has a job, what is the probability that the \quad\quad44-year-old also has a driver's license? Divide a joint relative frequency by a marginal relative frequency to find the answer. Round your answer to the nearest hundredth.\newlinec. If you are given that a \quad\quad44-year-old has a driver's license, what is the probability that the \quad\quad44-year-old also has a job? Divide a joint relative frequency by a marginal relative frequency to find the answer. Round your answer to the nearest hundredth.\newlinePage 10010033
  1. Calculate Total People: Calculate the total number of people surveyed by adding the counts of "Yes" and "No" for each age group.
  2. Calculate Joint Frequencies: Calculate the joint relative frequencies for each category by dividing each count by the total number of people surveyed 100100.
  3. Calculate Marginal Frequencies: Calculate the marginal relative frequencies for "Yes" and "No" across all age groups.
  4. Fill Completed Table: Fill in the completed table with joint and marginal relative frequencies.

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