1. The table shows the results of a survey of 200 randomly selected 9th grade students on how they get to school. Make a table of joint and marginal relative frequencies. The table has been started for you. Walk 12 20
Girls Boys
Girls Boys Total
Walk .06
Bus 44 48 Bus
Car 28 24 Car
Bike 10 14 Bike
Total
.12
Divide a joint relative frequency by a marginal relative frequency to answer the following questions. a. Given that you are a girl, what is the probability that you ride the bus to school?
___________
b. Given that you ride a bike to school, what is the probability that you are a boy?
___________
c. Given that you are a boy, what is the probability that you walk to school?
___________
d. Given that you ride in a car to school, what is the probability that you are a girl?
___________
2. A large group of 1000 people were surveyed about their favorite movie genre. The participants had to give their age and choose their favorite movie genre from Action, Comedy, and Horror. Make a table of joint and marginal relative frequencies. The table has been started for you.
18-30 years old 30-49 years old 50+ years old
18-30 years old 30-49 years old 50+ years old Total
Action 125 205 80 Action .125
Comedy 70 90 160 Comedy
Horror 180 75 15 Horror
Total
Divide a joint relative frequency by a marginal relative frequency to answer the following questions. a. What is the probability that given someone is over the age of 50, they would like to see a horror movie?_________ b. What is the probability that given someone is seeing a comedy, they are between the ages of 30-49?_________
c. A company that sells a product designed for young adults (18-30 year olds) is looking to advertise before the movie of one of these genres. Which genre should they choose? Explain your reasoning. _________________________________________________________________________________________________
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