Problem set
1. consider the following questions:
a. a survey of the students at a midwest high school asked the following questions:
"do you use a computer at least 3 times a week to complete your schoolwork? "
"are you taking a mathematics class? "
do you think the events "a randomly selected student uses a computer at least 3 times a week" and "a
randomly selected student is taking a mathematics class" are independent or not independent? explain your reasoning.
b. the same survey also asked students the following:
"do you participate in any extracurricular activities at your school? "
"do you know what you want to do after high school? "
do you think the events "a randomly selected student participates in extracurricular activities" and "a
randomly selected student knows what she wants to do after completing high school" are independent or not independent? explain your reasoning.
c. people attending a professional football game in 2013 completed a survey that included the following questions:
"is this the first time you have attended a professional football game? "
"do you think football is too violent? "
do you think the events "a randomly selected person who completed the survey is attending a professional football game for the first time" and "a randomly selected person
who completed the survey thinks football is too violent" are independent or not independent? explain your reasoning.