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Chapter 5: Q. 65 (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. Are the data discrete or continuous?

Short Answer

Expert verified

Here, the data related to Carbon-14 is continuous.

Step by step solution

01

Definition of carbon distribution 

Carbon distribution is defined as it is decaying constantly that indicted carbon-14 is exponentially distributed.

02

Theory of carbon distribution 

Theory of carbon distribution is that to constant decay of carbon-14 is known as exponential distribution.This process run continuously. So the data is continuous.

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Most popular questions from this chapter

Use the following information to answer the next three exercises.

The Sky Train from the terminal to the rentalโ€“car and longโ€“term parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.

The probability of waiting more than seven minutes given a person has waited more than four minutes is?

a. 0.125

b. 0.25

c. 0.5

d. 0.75

Find the probability that x falls in the shaded area.

Use the following information to answer the next ten exercises.A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X~Exp(0.2)

State the probability density function.

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 third quartile of ages of cars in the lot. This means you will have to find the value such that 34or75%,of the cars are at most (less than or equal to) that age.

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

b. Find the value k such thatP(x<K)=0.75

c. The third quartile is _____

A random number generator picks a number from one to nine in a uniform manner.

a. X ~ _________

b. Graph the probability distribution.

c. f(x) = _________

d. ฮผ = _________

e. ฯƒ = _________

f. P(3.5 < x < 7.25) = _________

g. P(x > 5.67)

h. P(x > 5|x > 3) = _________

i. Find the 90th percentile
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