A large cable company reports the follwing: 80% of customers subscribe to cable TV service, 42% subscribe to Internet Service, 32% subscribe to telephone service, 25% of its  customers subscribe to both cable tv and internet service, 21% of its customers subscribe to both cable tv and phone service, 23% of its customers subscribe to both Internet and phone service, and 15% of its customers subscribe to all three services.  What is P( Internet I cable TV)?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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A large cable company reports the follwing: 80% of customers subscribe to cable TV service, 42% subscribe to Internet Service, 32% subscribe to telephone service, 25% of its  customers subscribe to both cable tv and internet service, 21% of its customers subscribe to both cable tv and phone service, 23% of its customers subscribe to both Internet and phone service, and 15% of its customers subscribe to all three services. 

What is P( Internet I cable TV)? 

Expert Solution
Step 1

From the given information,

The probability that customers subscribe to cable TV service is 0.80(80%).

The probability that customers subscribe to Internet service is 0.42(42%).

The probability that customers subscribe to telephonic service is 0.32(32%).

The probability that customers subscribe to both cable TV and Internet service is 0.25(25%).

The probability that customers subscribe to both cable TV and phone service is 0.21(21%).

The probability that customers subscribe to both Internet and phone service is 0.23(23%).

The probability that customers subscribe to all three services is 0.15(15%).

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