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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 size 12{X} {} increases, what happens involving the probabilities using the two distributions? Explain in complete sentences.
  • X size 12{X} {} = the number of fortune cookies that have an extra fortune
  • 0, 1, 2, 3,... 144
  • X ~ B(144, 0.03) or 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 size 12{X} {} = number of matches and Y size 12{Y} {} = profit per game.

  • List the values that Y size 12{Y} {} may take on. Then, construct one PDF table that includes both X size 12{X} {} & Y size 12{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 size 12{X} {} = the number of women that suffer from anorexia
  • 0, 1, 2, 3,... 600 (can leave off 600)
  • X ~ 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.

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
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
analytical skills graphene is prepared to kill any type viruses .
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
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
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
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.
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
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Source:  OpenStax, Collaborative statistics (custom lecture version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11543/1.1
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