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(See Exercise 3 from "Problems on Random Variables and Joint Distributions") A die is rolled. Let X be the number of spots that turn up. A coin is flipped X times. Let Y be the number of heads that turn up. Determine the distribution for Y .

PX = [0 (1/6)*ones(1,6)];PY = [0.5 0.5];gend Do not forget zero coefficients for missing powersEnter gen fn COEFFICIENTS for gN PX Enter gen fn COEFFICIENTS for gY PYResults are in N, PN, Y, PY, D, PD, P May use jcalc or jcalcf on N, D, PTo view the distribution, call for gD. disp(gD) % Compare with P8-30 0.1641 1.0000 0.31252.0000 0.2578 3.0000 0.16674.0000 0.0755 5.0000 0.02086.0000 0.0026
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(See Exercise 4 from "Problems on Random Variables and Joint Distributions") As a variation of [link] , suppose a pair of dice is rolled instead of a single die. Determine the distribution for Y .

PN = (1/36)*[0 0 1 2 3 4 5 6 5 4 3 2 1];PY = [0.5 0.5];gend Do not forget zero coefficients for missing powersEnter gen fn COEFFICIENTS for gN PN Enter gen fn COEFFICIENTS for gY PYResults are in N, PN, Y, PY, D, PD, P May use jcalc or jcalcf on N, D, PTo view the distribution, call for gD. disp(gD)0 0.0269 1.0000 0.10252.0000 0.1823 3.0000 0.21584.0000 0.1954 5.0000 0.14006.0000 0.0806 7.0000 0.03758.0000 0.0140 % (Continued next page) 9.0000 0.004010.0000 0.0008 11.0000 0.000112.0000 0.0000
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(See Exercise 5 from "Problems on Random Variables and Joint Distributions") Suppose a pair of dice is rolled. Let X be the total number of spots which turn up. Roll the pair an additional X times. Let Y be the number of sevens that are thrown on the X rolls. Determine the distribution for Y . What is the probability of three or more sevens?

PX = (1/36)*[0 0 1 2 3 4 5 6 5 4 3 2 1];PY = [5/6 1/6];gend Do not forget zero coefficients for missing powersEnter gen fn COEFFICIENTS for gN PX Enter gen fn COEFFICIENTS for gY PYResults are in N, PN, Y, PY, D, PD, P May use jcalc or jcalcf on N, D, PTo view the distribution, call for gD. disp(gD)0 0.3072 1.0000 0.36602.0000 0.2152 3.0000 0.08284.0000 0.0230 5.0000 0.00486.0000 0.0008 7.0000 0.00018.0000 0.0000 9.0000 0.000010.0000 0.0000 11.0000 0.000012.0000 0.0000 P = (D>=3)*PD' P = 0.1116
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(See Example 7 from "Conditional Expectation, Regression") A number X is chosen by a random selection from the integers 1 through 20 (say by drawing a card from a box). A pair of dice is thrown X times. Let Y be the number of “matches” (i.e., both ones, both twos, etc.). Determine the distribution for Y .

gN = (1/20)*[0 ones(1,20)];gY = [5/6 1/6];gend Do not forget zero coefficients for missing powersEnter gen fn COEFFICIENTS for gN gN Enter gen fn COEFFICIENTS for gY gYResults are in N, PN, Y, PY, D, PD, P May use jcalc or jcalcf on N, D, PTo view the distribution, call for gD.disp(gD)0 0.2435 1.0000 0.26612.0000 0.2113 3.0000 0.14194.0000 0.0795 5.0000 0.03706.0000 0.0144 7.0000 0.00478.0000 0.0013 9.0000 0.000310.0000 0.0001 11.0000 0.000012.0000 0.0000 13.0000 0.000014.0000 0.0000 15.0000 0.000016.0000 0.0000 17.0000 0.000018.0000 0.0000 19.0000 0.000020.0000 0.0000
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Questions & Answers

what is Nano technology ?
Bob Reply
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?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
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
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
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
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Mueller Reply
A fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive
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Source:  OpenStax, Applied probability. OpenStax CNX. Aug 31, 2009 Download for free at http://cnx.org/content/col10708/1.6
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