In: Statistics and Probability
2. At a certain college, the student senate conducted a poll of 200 students to ask about using student services. In the poll, 24% of students had used tutoring services in the past week, 72% had used the library in the past week, and 14% had used both tutoring and the library in the past week.
a. What percent of students used either tutoring or the library in the past week?
b. What percent of students used neither tutoring nor the library in the past week?
c. What percent of students did not use the library? d. Given that a student visited the library, what is the probability that they used tutoring services?
d. That an instructor opposes the policy given that they teach in MSHP.
Let A be the event that students had used tutoring services in the past week
B be the event that students had used library services in the past week
Then
The probability that the students had used tutoring services in the past week
The probability that the students had used library services in the past week
a) The probability that students used either tutoring or the library in the past week=
The percent of students used either tutoring or the library in the past week = 82%
b) The probability that students used neither tutoring nor the library in the past week =
The percent of students that used neither tutoring nor the library in the past week = 18%
c) The percent of students that did not use the library = 28%
d) Given that a student visited the library, what is the probability that they used tutoring services