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 Discrete random variables
 Probability distribution function
This module introduces the Probability Distribution Function (PDF) and its characteristics.
A discrete
probability distribution function has two characteristics:
 Each probability is between 0 and 1, inclusive.
 The sum of the probabilities is 1.
A child psychologist is interested in the number of times a newborn baby's crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let
$X$ = the number of times a newborn wakes its mother after midnight. For this example,
$x$ = 0, 1, 2, 3, 4, 5.
$\text{P(x)}$ = probability that
$X$ takes on a value
$x$ .
$x$ 
$\text{P(x)}$ 
0 
$\text{P(x=0)}=\frac{2}{50}$ 
1 
$\text{P(x=1)}=\frac{11}{50}$ 
2 
$\text{P(x=2)}=\frac{23}{50}$ 
3 
$\text{P(x=3)}=\frac{9}{50}$ 
4 
$\text{P(x=4)}=\frac{4}{50}$ 
5 
$\text{P(x=5)}=\frac{1}{50}$ 
$X$ takes on the values 0, 1, 2, 3, 4, 5.
This is a discrete
$\mathrm{PDF}$ because
 Each
$\text{P(x)}$ is between 0 and 1, inclusive.
 The sum of the probabilities is 1, that is,
$\frac{2}{50}+\frac{11}{50}+\frac{23}{50}+\frac{9}{50}+\frac{4}{50}+\frac{1}{50}=1$
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Suppose Nancy has classes
3 days a week. She attends classes 3 days a week
80% of the time,
2 days 15% of the time,
1 day 4% of the time, and
no days 1% of the time. Suppose one week is randomly selected.
Suppose one week is randomly chosen. Construct a probability distribution table (called a
$\mathrm{PDF}$ table) like the one in the previous example. The table should have two columns labeled
$x$ and
$\text{P(x)}$ . What does the
$\text{P(x)}$ column sum to?
$x$ 
$\mathrm{P(x)}$ 
0 
0.01 
1 
0.04 
2 
0.15 
3 
0.80 
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Questions & Answers
how can chip be made from sand
is this allso about nanoscale material
Almas
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
where is the latest information on a no technology how can I find it
William
where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
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
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
how did you get the value of 2000N.What calculations are needed to arrive at it
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1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the probability that in a sample of 10 drivers: 3.1.1 Exactly 4 will have a medical aid. (8) 3.1.2 At least 2 will have a medical aid. (8) 3.1.3 More than 9 will have a medical aid.
Source:
OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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