# 5.5 Practice 1: uniform distribution

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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:

$X$ ~ $U\left(0\text{.}5,9\text{.}5\right)$

## Probability distribution

Write the probability density function.

$f\left(x\right)$ $\phantom{\rule{0ex}{0ex}}=$ $\frac{1}{9}$

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
• $f\left(x\right)$

## 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. $P\left(x<\text{4}\right)$ =
• $\frac{3\text{.}5}{9}$

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. $P\left(x<4\mid x<7\text{.}5\right)$ =
• $\frac{3\text{.}5}{7}$

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\left(x .
• The third quartile is:
• $k$ = 7.25

do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
Do somebody tell me a best nano engineering book for beginners?
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
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.
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is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
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Do you know which machine is used to that process?
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how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
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many many of nanotubes
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what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
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anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
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not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
how did you get the value of 2000N.What calculations are needed to arrive at it
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1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the probability that in a sample of 10 drivers: 3.1.1 Exactly 4 will have a medical aid. (8) 3.1.2 At least 2 will have a medical aid. (8) 3.1.3 More than 9 will have a medical aid.