A student at a university has been doing a project to investigate entertainment habits of students....

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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:

  1. Have you watched a movie in the last week?
  2. Have you listened to music in the last week?
  3. 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 =

Answer & Explanation Solved by verified expert
3.9 Ratings (509 Votes)
46 had watched a movie thus 46 students answered yes toquestions 136 had listened to music thus 36 students answered yes toquestions 241 had read a book in the last week thus 41 students answeredyes to questions 3With all given    See Answer
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