1
answer
169
views
71a
Problem

For access to Textbook Solutions, a Class+ or Grade+ subscription is required.

Textbook Expert
Textbook ExpertVerified Tutor
9 Nov 2021

Given information

Use the following information to answer the next  exercises. Carbo is a radioactive element with a half-life of about  years. Carbon- is said to decay exponentially. The decay rate is  We start with one gram of carbon  . We are interested in the time (years) it takes to decay carbon-.

Thirty percent  of carbon-  will decay within how many years?

Step-by-step explanation

Step 1.

According to the given information, the random variable  follows the exponential distribution with parameter   

The cumulative density function of the exponential distribution is given by,

 being the decay parameter.

The graph of the distribution is given as follows:

Unlock all Textbook Solutions

Already have an account? Log in
Start filling in the gaps now
Log in