A large cable TV company reports the following: 80% of its customers subscribe to its cable TV service 42% of its customers subscribe to its Internet service 32% of its customers subscribe to its telephone service 25% of its customers subscribe to both its cable TV and Internet service 21% of its customers subscribe to both its cable TV and phone service 23% of its customers subscribe to both its Internet and phone service 15% of its customers subscribe to all three services
Consider the chance experiment that consists of selecting one of the cable company customers at random. Find and interpret the following probabilities:
a. P(cable TV only)
b. P(Internet| cable TV)
c. P(exactly two services)
d. P(Internet and cable TV only)