



For each problem:

A
In words, define the Random Variable
$X$ .

B
List the values hat
$X$ may take on.

C
Give the distribution of
$X$ .
$X$ ~
Then, answer the questions specific to each individual problem.
Six different colored dice are rolled. Of interest is the number of dice that show a “1.”

D
On average, how many dice would you expect to show a “1”?

E
Find the probability that all six dice show a “1.”

F
Is it more likely that 3 or that 4 dice will show a “1”? Use numbers to justify your answer numerically.

A
$X$ = the number of dice that show a 1

B
0,1,2,3,4,5,6

C
$X$ ~
$B(6,\frac{1}{6})$

D
1

E
0.00002

F
3 dice
According to a 2003 publication by Waits and Lewis
(source:
http://nces.ed.gov/pubs2003/2003017.pdf
), by the end of 2002, 92% of U.S. public twoyear colleges offered distance learning courses. Suppose you randomly pick 13 U.S. public twoyear colleges. We are interested in the number that offer distance learning courses.

D
On average, how many schools would you expect to offer such courses?

E
Find the probability that at most 6 offer such courses.

F
Is it more likely that 0 or that 13 will offer such courses? Use numbers to justify your answer numerically and answer in a complete sentence.
A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet festivities this year. Based on past years, she knows that 18% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.

D
How many of the 12 students do we expect to attend the festivities?

E
Find the probability that at most 4 students will attend.

F
Find the probability that more than 2 students will attend.

A
$X$ = the number of students that will attend Tet.

B
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

C
$X$ ~
$\text{B(12,0.18)}$

D
2.16

E
0.9511

F
0.3702
Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating students is randomly chosen.

D
How many are expected to attend their graduation?

E
Find the probability that 17 or 18 attend.

F
Based on numerical values, would you be surprised if all 22 attended graduation? Justify your answer numerically.
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the numbers that do
not use the foil as their main weapon.

D
How many are expected to
not use the foil as their main weapon?

E
Find the probability that six do
not use the foil as their main weapon.

F
Based on numerical values, would you be surprised if all 25 did
not use foil as their main weapon? Justify your answer numerically.

A
$X$ = the number of fencers that do
not use foil as their main weapon

B
0, 1, 2, 3,... 25

C
$X$ ~
$\text{B(25,0.40)}$

D
10

E
0.0442

F
Yes
Approximately 8% of students at a local high school participate in afterschool sports all four years of high school. A group of 60 seniors is randomly chosen. Of interest is the number that participated in afterschool sports all four years of high school.

D
How many seniors are expected to have participated in afterschool sports all four years of high school?

E
Based on numerical values, would you be surprised if none of the seniors participated in afterschool sports all four years of high school? Justify your answer numerically.

F
Based upon numerical values, is it more likely that 4 or that 5 of the seniors participated in afterschool sports all four years of high school? Justify your answer numerically.
Questions & Answers
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Preparation and Applications of Nanomaterial for Drug Delivery
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
is there industrial application of fullrenes.
What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
sciencedirect big data base
Ernesto
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Source:
OpenStax, Collaborative statistics homework book: custom version modified by r. bloom. OpenStax CNX. Dec 23, 2009 Download for free at http://legacy.cnx.org/content/col10619/1.2
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