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Q. 66

Expert-verified
Found in: Page 351

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

# Carbon-14 is a radioactive element with a half-life of about5,730 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 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.