In this module the student will explore the properties of data with a uniform distribution.
Student learning outcomes
The student will analyze data following a uniform distribution.
Given
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.
Describe the data
What is being measured here?
The age of cars in the staff parking lot
In words, define the Random Variable
$X$ .
$X$ = The age (in years) of cars in the staff parking lot
Are the data discrete or continuous?
Continuous
The interval of values for
$x$ is:
0.5 - 9.5
The distribution for
$X$ is:
$X$ ~
$U(0\text{.}\mathrm{5,9}\text{.}5)$
Probability distribution
Write the probability density function.
$f(x)$$\phantom{\rule{0ex}{0ex}}=$$\frac{1}{9}$
Graph the probability distribution.
Sketch the graph of the probability distribution.
Identify the following values:
Lowest value for
$x$ :
Highest value for
$x$ :
Height of the rectangle:
Label for x-axis (words):
Label for y-axis (words):
0.5
9.5
$\frac{1}{9}$
Age of Cars
$f(x)$
Random probability
Find the probability that a randomly chosen car in the lot was less than 4 years old.
Sketch the graph. Shade the area of interest.
Find the probability.
$P(x<\text{4})$ =
$\frac{3\text{.}5}{9}$
Out of just the cars less than 7.5 years old, find the probability that a randomly chosen car in the lot was less than 4 years old.
Sketch the graph. Shade the area of interest.
Find the probability.
$P(x<4\mid x<7\text{.}5)$ =
$\frac{3\text{.}5}{7}$
What has changed in the previous two problems that made the solutions different?
Quartiles
Find the average age of the cars in the lot.
$\mu $ = 5
Find the third quartile of ages of cars in the lot. This means you will have to find the value such that
$\frac{3}{4}$ , or 75%, of the cars are at most (less than or equal to) that age.
Sketch the graph. Shade the area of interest.
Find the value
$k$ such that
$P(x<k)=0\text{.}\text{75}$ .
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?