6.65 A large cable company reports the following:

● 80% of its customers subscribe to cable TV service

● 42% of its customers subscribe to Internet service

● 32% of its customers 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

● 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)