The student will compare empirical data and a theoretical distribution to determine if an everyday experiment fits a discrete distribution.
The student will demonstrate an understanding of long-term probabilities.
Supplies
One full deck of playing cards
Procedure
The experimental procedure is to pick one card from a deck of shuffled cards.
The theoretical probability of picking a diamond from a deck is _________.
Shuffle a deck of cards.
Pick one card from it.
Record whether it was a diamond or not a diamond.
Put the card back and reshuffle.
Do this a total of ten times.
Record the number of diamonds picked.
Let
X = number of diamonds. Theoretically,
X ~
B (_____,_____)
Organize the data
Record the number of diamonds picked for your class in
[link] . Then calculate the relative frequency.
x
Frequency
Relative Frequency
0
__________
__________
1
__________
__________
2
__________
__________
3
__________
__________
4
__________
__________
5
__________
__________
6
__________
__________
7
__________
__________
8
__________
__________
9
__________
__________
10
__________
__________
Calculate the following:
$\overline{x}$ = ________
s = ________
Construct a histogram of the empirical data.
Theoretical distribution
Build the theoretical PDF chart based on the distribution in the
Procedure section.
x
P (
x )
0
1
2
3
4
5
6
7
8
9
10
Calculate the following:
μ = ____________
σ = ____________
Construct a histogram of the theoretical distribution.
Using the data
Note
RF = relative frequency
Use the table from the
Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.
P (
x = 3) = _______________________
P (1<
x <4) = _______________________
P (
x ≥ 8) = _______________________
Use the data from the
Organize the Data section to calculate the following answers. Round your answers to four decimal places.
RF (
x = 3) = _______________________
RF (1<
x <4) = _______________________
RF (
x ≥ 8) = _______________________
Discussion questions
For questions 1 and 2, think about the shapes of the two graphs, the probabilities, the relative frequencies, the means, and the standard deviations.
Knowing that data vary, describe three similarities between the graphs and distributions of the theoretical and empirical distributions. Use complete sentences.
Describe the three most significant differences between the graphs or distributions of the theoretical and empirical distributions.
Using your answers from questions 1 and 2, does it appear that the data fit the theoretical distribution? In complete sentences, explain why or why not.
Suppose that the experiment had been repeated 500 times. Would you expect
[link] or
[link] to change, and how would it change? Why? Why wouldn’t the other table change?
Questions & Answers
can someone help me with some logarithmic and exponential equations.
In this morden time nanotechnology used in many field .
1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc
2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc
3- Atomobile -MEMS, Coating on car etc.
and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change .
maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Source:
OpenStax, Introduction to statistics i - stat 213 - university of calgary - ver2015revb. OpenStax CNX. Oct 21, 2015 Download for free at http://legacy.cnx.org/content/col11874/1.3
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