SOLUTION: In a survey of 75 resorts, it was reported that: 34 provided refrigerators in the guest rooms 30 provided laundry services 37 provided business centers 15 provided refri

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Question 177568This question is from textbook
: In a survey of 75 resorts, it was reported that:
34 provided refrigerators in the guest rooms
30 provided laundry services
37 provided business centers
15 provided refrigerators in the guest rooms and laundry services
17 provided refrigerators in the guest rooms and business centers
19 provided laundry services and business centers
7 provided all three features.
Construct a Venn Diagram and use it to answer the following questions:
(a) How many of the resorts provided only refrigerators in the guest rooms?
(b) How many of the resorts provided exactly one of the features?
(c) How many of the resorts provided at least one of the features?
(d) How many of the resorts provided exactly two of the features?
(e) How many of the resorts provided none of the features?
This question is from textbook

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!

(a)How many of the resorts provided only refrigerators in the guest rooms?
9(34-10-8-7)we had to back out those doing more than 1
(b)How many of the resorts provided exactly one of the features?
9+8+3 9(34-10-8-7): 8(37-10-12-7):3(30-8-12-7)
= 20
(c)How many of the resorts provided at least one of the features?
1 feature(9+8+3)+2 features(10+8+12)+ all three(7)
= 57
(d)How many of the resorts provided exactly two of the features?
(10+8+12)
= 30
(e)How many of the resorts provided none of the features?
75-57
= 18

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