13. A certain town with a population of 100,000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these papers are as follows: I: 10 percent I and II: 8 percent I and II and III: 1 percent II: 30 percent I and III: 2 percent III: 5 percent II and III: 4 percent (The list tells us, for instance, that 8000 people read newspapers I and II.) Find the number of people who read only one newspaper. How many people read at least two newspapers

a) the number of people who read only one newspaper is 20,000

b) number of people read at least two newspapers is 12,000

Step-by-step explanation:

Given the data in the question;

A certain town with a population of 100,000 has 3 newspapers

a)Find the number of people who read only one newspaper

From the Venn-diagram illustrating the data in the question;

Number of that read only one paper will be;

=[ (∩ ∩ ) + ( ∩   ∩ ) + ( ∩   ∩ ) ] × 100,000

= [ 1% + 19% + 0% ] × 100,00

= 20% × 100,000

= 20,000

Therefore, the number of people who read only one newspaper is 20,000

b) How many people read at least two newspapers;

Number of people read at least two newspapers will be;

= [ (∩ ∩ ) + ( ∩   ∩ ) + ( ∩   ∩ ) + ( ∩   ∩ )  ] × 100,000

= ( 7% + 1 % + 3% + 1% ) 100,000

= 12% × 100,000

= 12,000

Therefore, number of people read at least two newspapers is 12,000

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