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Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 5: Q. 66 (page 351)

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.

Short Answer

Expert verified

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

Step by step solution

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.

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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Most popular questions from this chapter

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as $X ~ U (1.5, 4.5)$ .

Find the probability that a randomly selected home has more than $3, 000$ square feet given that you already know the house has more than $2, 000$ square feet.

Use the following information to answer the next seven exercises. A distribution is given as $X ~ E x p (0.75)$ . Which is larger, the mean or the median?

Use the following information to answer the next eight exercises. A distribution is given as $X ~ U (0, 12)$ .

What is the probability density function?

$f (x)$ a continuous probability function, is equal to $\frac{1}{3}$ and the function is restricted to $1 \leq x \leq 4$ . Describe $P (x > \frac{3}{2})$ .

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

Are the data discrete or continuous?

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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.

Short Answer

Step by step solution

Definition of the decay rate of carbon-14

The process to measure the random variable of carbon-14

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Most popular questions from this chapter

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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.

Short Answer

Step by step solution

Definition of the decay rate of carbon-14

The process to measure the random variable of carbon-14

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Pure Maths

Statistics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

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.