Question

A large cable company reports the following.

• 80% of its customers subscribe to its cable TV service
• 41% of its customers subscribe to its Internet service
• 31% of its customers subscribe to its telephone service
• 26% of its customers subscribe to both its cable TV and Internet service
• 19% of its customers subscribe to both its cable TV and phone service
• 22% 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)

P(cable TV only) =  .  % of cable company customers only subscribe to cable TV.

(b)

P(Internet|cable TV)

P(Internet|cable TV) =  . Of the customers who subscribe to cable TV,  % subscribe to Internet service.

(c)

P(exactly two services)

P(exactly two services) =  .  % of cable company customers subscribe to exactly two services (cable TV and Internet, cable TV and phone, or Internet and phone).

(d)

P(Internet and cable TV only)

P(Internet and cable TV only) =  .  % of cable company customers subscribe to Internet and cable TV only.

Answer 1