A student at a university has been doing a project toinvestigate entertainment habits of students. They have surveyed100 random students who were each asked three questions:
- Have you watched a movie in the last week?
- Have you listened to music in the last week?
- Have you read a book in the last week?
However, the student keeps a very messy room and has lost someof the results. They have been able to find the followingresults:
Of all the students surveyed, 46 had watched a movie, 36 hadlistened to music and 41 had read a book in the last week.Also:
- 4 students answered yes to all three questions
- 10 students answered yes to questions 1 and 2 only
- 12 students answered yes to questions 1 and 3 only
- 20 students answered yes only to question 1
- 18 students answered no to all three questions
Find the missing information and answer the following questionsregarding the group surveyed. Give your answers as wholenumbers.
Calculate the number of students that:
a)answered yes to question 3 only =
b)answered yes to exactly two questions =
c)had watched a movie or listened to music but had not read abook =