An alcohol awareness task force at a Big-Ten university sampled 200 students aft
ID: 3042826 • Letter: A
Question
An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following result was obtained. Did Well on Midterm Did Poorly on Midterm Studying for Exam 80 20 Went Bar Hopping 30 70
What is the probability that a randomly selected student did well on the midterm and also went bar hopping the weekend before the midterm?
What is the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm?
What is the probability that a randomly selected student who went bar hopping did well on the midterm?
What is the probability that a randomly selected student went bar hopping?
What is the probability that a randomly selected student did well on the midterm?
Explanation / Answer
a. What is the probability that a randomly selected student did well on the midterm and also went bar hopping the weekend before the midterm?
Answer : The number of students who did well and went bar hopping is 30.
p = 30/200
b. What is the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm?
Answer : The number of students who did well or went bar hopping is 80+30+70 = 180.
p = 180/200
c. What is the probability that a randomly selected student who went bar hopping did well on the midterm?
Answer :The number of students who did well on the exam and went bar hopping is 30. The total number of students who went bar hopping is 100. So p = 30/100 .
d. What is the probability that a randomly selected student went bar hopping?
Answer : The number of students who went bar hopping is 100.
so p=100/200.
e.What is the probability that a randomly selected student did well on the midterm?
Answer : The number of students who did well on the midterm is 80+30=110.
so p=110/200.
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