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)?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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 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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