TV Location. The Television Bureau of Advertising publishes a report titled TV Basics for the purpose of providing information to help advertisers make the most effective and efficient use of local and national spot television advertisements. The following table gives a percentage distribution for the location of a television set in the home.

Suppose that a home television set is randomly selected. What is the probability that it is

(a) located in a bedroom?

(b) not located in a bedroom?

(c) located in the kitchen, dining room, basement, or garage?

Short Answer

Expert verified

Part (a) 0.43

Part (b) 0.57

Part (c) 0.1

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

The Television Bureau of Advertising publishes a report titled TV Basics for the purpose of providing information to help advertisers make the most effective and efficient use of local and national spot television advertisements.

The following table gives a percentage distribution for the location of a television set in the home.

Location

Percentage

Living or sitting room

27

Master bedroom

24

Child or other bedroom

19

Den or office

14

Kitchen or Dining room

5

Basement or Garage

5

Other room or Storage

6

02

Part (a) Step 2. Find the probability that the randomly selected TV is located in a bedroom.

Total percentage of TV Located in the bedroom:

24% in the master bedroom+19% in the child or other bedroom=43%

role="math" localid="1651770355044" P(Televisioninbedroom)=43%=43100=0.43

03

Part (b) Step 1. Find the probability that the randomly selected TV is not located in a bedroom.

P(Televisionnotlocatedinbedroom)=1-P(Televisionlocatedinbedroom)=1-0.43=0.57

04

Part (c) Step 1. Find the probability that the randomly selected TV is located in the kitchen, dining room, basement, or garage.

The total percentage of TV Located in the kitchen, dining room, basement, or garage is:

5% in the kitchen or dining room+5% in the basement and garage=10%

Therefore, the probability is:

=10%=0.1

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