e. However, there were too many people so they decided to split up to 3 nearby bed and breakfasts. 40% of the family members stayed at B&B 1, 35% stayed at B&B 2, and 25% stayed at B&B 3. According to feedback, 6% of the rooms in B&B 1 have lights that do not work, 9% of rooms in B&B 2 have lights that do not work, and 7% of rooms in B&B 3 have lights that do not work.  1) Given the data abov

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A large family travelling on the road in convoy decided to stop at a bed and breakfast since it was getting pretty late. However, there were too many people so they decided to split up to 3 nearby bed and breakfasts. 40% of the family members stayed at B&B 1, 35% stayed at B&B 2, and 25% stayed at B&B 3. According to feedback, 6% of the rooms in B&B 1 have lights that do not work, 9% of rooms in B&B 2 have lights that do not work, and 7% of rooms in B&B 3 have lights that do not work. 

1) Given the data above, make a venn diagram.
2) Determine the probability that a family member will have a room with functional lights. 
3) Determine the probability that a family member whose room lights do not work was assigned to B&B A. 

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