Chapter 11.1, Problem 50PPSE

Solution

To calculate: The number of different ratings that are possible if a consumer magazine rates television by indentifying two levels of price, five levels of repairs frequency, three levels of features, and two levels of picture quality.

The resultant answer is 60 possible ratings.

Given information:

A consumer magazine rates television by indentifying two levels of price, five levels of repairs frequency, three levels of features, and two levels of picture quality.

Formula used: Fundamental Principle of counting says that if one event can occur in $m$ different ways and a second event can occur in $n$ different ways, then sequence of both events can occur in $m\cdot n$ different ways.

Explanation:

The numbers of ways of in which price levels are identified: 2

The numbers of ways of in which repairs frequency levels are identified: 5

The numbers of ways of in which levels of features are identified: 3

The numbers of ways of in which picture quality are identified: 2

Now apply the Fundamental Principle of counting,

  $2\cdot 5\cdot 3\cdot 2=60$

Therefore, the total number of ratings for television is 60.