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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 size 12{X} {} .

X size 12{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 size 12{X} {} is:

0.5 - 9.5

The distribution for X size 12{X} {} is:

X size 12{X} {} ~ U ( 0 . 5,9 . 5 ) size 12{U \( 0 "." 5,9 "." 5 \) } {}

Probability distribution

Write the probability density function.

f ( x ) size 12{f \( x \) } {} = 1 9 size 12{ { {1} over {9} } } {}

Graph the probability distribution.

  • Sketch the graph of the probability distribution.
  • Identify the following values:
    • Lowest value for x size 12{X} {} :
    • Highest value for x size 12{X} {} :
    • Height of the rectangle:
    • Label for x-axis (words):
    • Label for y-axis (words):
  • 0.5
  • 9.5
  • 1 9 size 12{ { {1} over {9} } } {}
  • Age of Cars
  • f ( x ) size 12{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.
    Blank graph with vertical and horizontal axes.
  • Find the probability. P ( x < 4 ) size 12{P \( X<"5730" \) } {} =
  • 3 . 5 9 size 12{ { {3 "." 5} over {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 x < 7 . 5 ) size 12{P \( X<4 \lline X<7 "." 5 \) } {} =
  • 3 . 5 7 size 12{ { {3 "." 5} over {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.

μ size 12{μ} {} = 5

Find the third quartile of ages of cars in the lot. This means you will have to find the value such that 3 4 size 12{ { {3} over {4} } } {} , or 75%, of the cars are at most (less than or equal to) that age.

  • Sketch the graph. Shade the area of interest.
    Blank graph with vertical and horizontal axes.
  • Find the value k size 12{k} {} such that P ( x < k ) = 0 . 75 size 12{P \( X<k \) =0 "." "75"} {} .
  • The third quartile is:
  • k size 12{k} {} = 7.25

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
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.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
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
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
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.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
what's the program
Jordan
?
Jordan
what chemical
Jordan
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Collaborative statistics using spreadsheets - snackeru. OpenStax CNX. Jul 09, 2015 Download for free at http://legacy.cnx.org/content/col11842/1.1
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