# 4.9 Homework  (Page 3/7)

 Page 3 / 7

The chance of having an extra fortune in a fortune cookie is about 3%. Given a bag of 144 fortune cookies, we are interested in the number of cookies with an extra fortune. Two distributions may be used to solve this problem. Use one distribution to solve the problem.

• How many cookies do we expect to have an extra fortune?
• Find the probability that none of the cookies have an extra fortune.
• Find the probability that more than 3 have an extra fortune.
• As $n$ increases, what happens involving the probabilities using the two distributions? Explain in complete sentences.
• $X$ = the number of fortune cookies that have an extra fortune
• 0, 1, 2, 3,... 144
• $X$ ~ $\text{B(144, 0.03)}$ or $\text{P(4.32)}$
• 4.32
• 0.0124 or 0.0133
• 0.6300 or 0.6264

There are two games played for Chinese New Year and Vietnamese New Year. They are almost identical. In the Chinese version, fair dice with numbers 1, 2, 3, 4, 5, and 6 are used, along with a board with those numbers. In the Vietnamese version, fair dice with pictures of a gourd, fish, rooster, crab, crayfish, and deer are used. The board has those six objects on it, also. We will play with bets being $1. The player places a bet on a number or object. The “house” rolls three dice. If none of the dice show the number or object that was bet, the house keeps the$1 bet. If one of the dice shows the number or object bet (and the other two do not show it), the player gets back his $1 bet, plus$1 profit. If two of the dice show the number or object bet (and the third die does not show it), the player gets back his $1 bet, plus$2 profit. If all three dice show the number or object bet, the player gets back his $1 bet, plus$3 profit.

Let $X$ = number of matches and $Y$ = profit per game.

• List the values that $Y$ may take on. Then, construct one PDF table that includes both $X$ & $Y$ and their probabilities.
• Calculate the average expected matches over the long run of playing this game for the player.
• Calculate the average expected earnings over the long run of playing this game for the player.
• Determine who has the advantage, the player or the house.

According to the South Carolina Department of Mental Health web site, for every 200 U.S. women, the average number who suffer from anorexia is one ( http://www.state.sc.us/dmh/anorexia/statistics.htm ). Out of a randomly chosen group of 600 U.S. women:

• How many are expected to suffer from anorexia?
• Find the probability that no one suffers from anorexia.
• Find the probability that more than four suffer from anorexia.
• $X$ = the number of women that suffer from anorexia
• 0, 1, 2, 3,... 600 (can leave off 600)
• $X$ ~ $\text{P(3)}$
• 3
• 0.0498
• 0.1847

The average number of children a Japanese woman has in her lifetime is 1.37. Suppose that one Japanese woman is randomly chosen.
( http://www.mhlw.go.jp/english/policy/children/children-childrearing/index.html MHLW’s Pamphlet)

• Find the probability that she has no children.
• Find the probability that she has fewer children than the Japanese average.
• Find the probability that she has more children than the Japanese average.

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
I think
Professor
what is the stm
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 a peer
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
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?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
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?
absolutely yes
Daniel
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