Question

In: Statistics and Probability

A survey of 280 SPC students was taken at registration. Of those surveyed: 62 students had...

A survey of 280 SPC students was taken at registration. Of those surveyed:

  • 62 students had signed up for a Math course
  • 54 students had signed up for a Language Arts course
  • 32 students had signed up for a Humanities course
  • 23 students had signed up for both a Math and Language Arts course
  • 9 students had signed up for both a Math and Humanities course
  • 10 students had signed up for both a Language Arts and Humanities course
  • 3 students had signed up for all three courses

How many students had not signed up for any of these three courses?

A survey of 1,064 tourists visiting Orlando was taken. Of those surveyed:

  • 280 tourists had visited LEGOLAND
  • 287 tourists had visited Universal Studios
  • 93 tourists had visited both the Magic Kingdom and LEGOLAND
  • 59 tourists had visited both the Magic Kingdom and Universal Studios
  • 72 tourists had visited both LEGOLAND and Universal Studios
  • 45 tourists had visited all three theme parks
  • 99 tourists did not visit any of these theme parks

How many tourists only visited the Magic Kingdom (of these three)?

Solutions

Expert Solution

A survey of 280 SPC students was taken at registration. Of those surveyed:

  • 62 students had signed up for a Math course
  • 54 students had signed up for a Language Arts course
  • 32 students had signed up for a Humanities course
  • 23 students had signed up for both a Math and Language Arts course
  • 9 students had signed up for both a Math and Humanities course
  • 10 students had signed up for both a Language Arts and Humanities course
  • 3 students had signed up for all three courses

Hence number of students had not signed up for any of these three courses= 171

i.e.

A survey of 1,064 tourists visiting Orlando was taken. Of those surveyed:

  • 280 tourists had visited LEGOLAND
  • 287 tourists had visited Universal Studios
  • 93 tourists had visited both the Magic Kingdom and LEGOLAND
  • 59 tourists had visited both the Magic Kingdom and Universal Studios
  • 72 tourists had visited both LEGOLAND and Universal Studios
  • 45 tourists had visited all three theme parks

99 tourists did not visit any of these theme parks

Hence number of tourists only visited the Magic Kingdom 470

i.e.

orchestra answered 1 year ago
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