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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding Sample Spaces and events In Exercises 1–4, list or describe the elements in the specified set. See Example 1.

Poll Three people are asked their opinions on a political issue. They can answer “In favor” (I), “Opposed” (O), or “Undecided” (U).

(a) The sample space S

(b) The event A that at least two people are in favor

(c) The event B that no more than one person is opposed

(a)

To determine

The sample space of an experiment when three people are asked their opinions on a political issue. The can answer “In favor”(I), “Opposed”(O), or “Undecided”(U).

Explanation

Given Information:

The provided information is that, three people are asked their opinions on a political issue. The can answer “In favor”(I), “Opposed”(O), or “Undecided”(U).

Consider the provided information is that, three people are asked their opinions on a political issue. The can answer “In favor”(I), “Opposed”(O), or “Undecided”(U).

The sample space is the total possible outcome of an experiment.

For an experiment consists of three people are asked their opinions on a political issue. The can answer “In favor”(I), “Opposed”(O), or “Undecided”(U).

So, total possible outcome for this experiment,

S={III,IIO,IIU,IOI,IUI,OII,UII,IOO,IOU,IUO,IUU,,OIO,OIU,UIO,UIU,

(b)

To determine

The event A that at least two people are in favor when three people are asked their opinions on a political issue. The can answer “In favor”(I), “Opposed”(O), or “Undecided”(U).

(c)

To determine

The event B that no more than one person is opposed when three people are asked their opinions on a political issue. The can answer “In favor”(I), “Opposed”(O), or “Undecided”(U).

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