13. A certain town of population size 100,000 has 3 newspapers: I, II, and III. The proportions...

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13. A certain town of population size 100,000 has 3 newspapers: I, II, and III.

The proportions of townspeople that 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.)

(a) Find the number of people reading only one newspaper.

(b) How many people read at least two newspapers?

(c) If I and III are morning papers and II is an evening paper, how many people read at least one morning paper plus an evening paper?

(d) How many people do not read any newspapers?

(e) How many people read only one morning paper and one evening paper?

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