Answer:
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;
=[ ([tex]I^{}[/tex]∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) ] × 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;
= [ ([tex]I^{}[/tex]∩ [tex]II^{}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) ] × 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
