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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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Checkpoint 3 Worked-out solution available at LarsonAppliedCalculus.com

Three coins are tossed (see Example 2). Graph the probability distribution, where the random variable represents the number of heads in each possible outcome.

To determine

To graph: The probability distribution, for an event in which three coins are tossed and a random variable represent the number of head in each outcome.

Explanation

Given Information:

Three coins are tossed and a random variable is used to represents the number of heads in each outcome.

Graph:

Consider the provided information that three coins are tossed and a random variable is used to represents the number of heads in each outcome.

Let, x be the random variable that represents the number of heads in each outcome and n(x) represent the frequency of the random variable.

The possible outcomes are shown below when three coins are tossed.

x

outcome

n(x)

0

TTT

1

1

HTT, THT, TTH

3

2

HHT, HTH, THH

3

3

HHH

1

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

So,

n(S)=23=8

Since, probability of a random variable is given as below:

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