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Q. 66

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Introductory Statistics

Found in: Page 351

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

Carbon-14 is a radioactive element with a half-life of about
5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14.
We are interested in the time (years) it takes to decay carbon-14. In words, define the random variable X.

The value of random variable X is 14 years life of carbon-14

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of the decay rate of carbon-14

The decay rate of carbon-14 is indicated the amount of reducing radioisotope of a carbon-14 per unit time.

Step 2: The process to measure the random variable of carbon-14

On the basis of the information of carbon-14, it exponentially decays with a half-life of 5730 years.

As per this statement, it can be stated that the value of random variable X is 14 years life of carbon-14.

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