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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

01

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.

02

 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 number of passengers on 35 different charter fishing boats. The sample mean = 7.9 and the sample standard deviation = 4.33. The data follow a uniform distribution where all values between and including zero and 14 are equally likely. State the values of aand b. Write the distribution in proper notation, and calculate the theoretical mean and standard deviation.

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.

Considering only the cars less than 7.5 years old, find the probability that a randomly chosen car in the lot was less than four years old.

a. Sketch the graph, shade the area of interest.

b. Find the probabilityP(x<4x<7.5)=

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.

a. Graph the probability distribution

b. Identify the following values:

i. Lowest value forx¯=

ii. Highest value for localid="1648215651207" x¯=

iii. Height of the rectangle:

iv. Label for x-axis (words):

v. Label for y-axis (words):

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. Find the average age of the cars in the lot.

What is the probability that a phone will fail within two years of the date of purchase?

a.0.8647

b. 0.4866

c. 0.2212

d. 0.9997
See all solutions

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