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The following simple random variable is in canonical form:
.
Express the events
,
, and
in terms of
, and
D .
-
-
D
-
-
C
-
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Random variable
X , in canonical form, is given by
.
Express the events
,
,
and
, in terms of
, and
E .
-
D
-
-
-
-
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The class
is a partition. Random variable
X has values
on
C
1 through
C
10 , respectively.
Express
X in canonical form.
T = [1 3 2 3 4 2 1 3 5 2];[X,I] = sort(T)X = 1 1 2 2 2 3 3 3 4 5
I = 1 7 3 6 10 2 4 8 5 9
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The class
in
[link] has respective
probabilities 0.08, 0.13, 0.06, 0.09, 0.14, 0.11, 0.12, 0.07, 0.11, 0.09. Determinethe distribution for
X .
T = [1 3 2 3 4 2 1 3 5 2];pc = 0.01*[8 13 6 9 14 11 12 7 11 9];[X,PX] = csort(T,pc);disp([X;PX]')1.0000 0.2000
2.0000 0.26003.0000 0.2900
4.0000 0.14005.0000 0.1100
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A wheel is spun yielding on an equally likely basis the
integers 1 through 10. Let
C
i be the event the wheel stops at
i ,
. Each
.
If the numbers 1, 4, or 7 turn up, the player loses ten dollars; if the numbers 2, 5,or 8 turn up, the player gains nothing; if the numbers 3, 6, or 9 turn up, the player
gains ten dollars; if the number 10 turns up, the player loses one dollar. The randomvariable expressing the results may be expressed in primitive form as
- Determine the distribution for
X , (a) by hand, (b) using MATLAB.
- Determine
,
.
p = 0.1*ones(1,10);
c = [-10 0 10 -10 0 10 -10 0 10 -1];
[X,PX]= csort(c,p);
disp([X;PX]')
-10.0000 0.3000-1.0000 0.1000
0 0.300010.0000 0.3000
Pneg = (X<0)*PX'
Pneg = 0.4000Ppos = (X>0)*PX'
Ppos = 0.300
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A store has eight items for sale. The prices
are $3.50, $5.00, $3.50, $7.50, $5.00, $5.00, $3.50, and $7.50, respectively.A customer comes in. She purchases
one of the items with probabilities 0.10, 0.15, 0.15, 0.20, 0.10 0.05, 0.10 0.15. Therandom variable expressing the amount of her purchase may be written
Determine the distribution for
X (a) by hand, (b) using MATLAB.
p = 0.01*[10 15 15 20 10 5 10 15];c = [3.5 5 3.5 7.5 5 5 3.5 7.5];[X,PX] = csort(c,p);disp([X;PX]')3.5000 0.3500
5.0000 0.30007.5000 0.3500
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Suppose
in canonical form are
The
are 0.3, 0.6, 0.1, respectively, and the
are 0.2 0.6 0.2. Each
pair
is independent. Consider the random variable
. Then
on
,
on
, etc. Determine the value of
Z on each
and determine the corresponding
. From this,
determine the distribution for
Z .
A = [2 3 5];B = [1 2 3];a = rowcopy(A,3);
b = colcopy(B,3);Z =a + b % Possible values of sum Z = X + Y
Z = 3 4 64 5 7
5 6 8PA = [0.3 0.6 0.1];PB = [0.2 0.6 0.2];pa= rowcopy(PA,3);
pb = colcopy(PB,3);P = pa.*pb % Probabilities for various values
P = 0.0600 0.1200 0.02000.1800 0.3600 0.0600
0.0600 0.1200 0.0200
[Z,PZ]= csort(Z,P);
disp([Z;PZ]') % Distribution for Z = X + Y
3.0000 0.06004.0000 0.3000
5.0000 0.42006.0000 0.1400
7.0000 0.06008.0000 0.0200
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Questions & Answers
the diagram of the digestive system
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environments
AI-Robot
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
Diversity of living thing
ISCONT
Cell division is the process by which a single cell divides into two or more daughter cells. It is a fundamental process in all living organisms and is essential for growth, development, and reproduction. Cell division can occur through either mitosis or meiosis.
AI-Robot
life is defined as any system capable of performing functions such as eating, metabolizing,excreting,breathing,moving,Growing,reproducing,and responding to external stimuli.
Mohamed
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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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