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The pair
has the joint distribution (in m-file
npr08_06.m ):
Determine whether or not the pair
is independent.
npr08_06 Data are in X, Y, P
itestEnter matrix of joint probabilities P
The pair {X,Y} is NOT independentTo see where the product rule fails, call for D
disp(D)0 0 0 1 1
0 0 0 1 11 1 1 1 1
1 1 1 1 1
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The pair
has the joint distribution (in m-file
npr09_02.m ):
Determine whether or not the pair
is independent.
npr09_02 Data are in X, Y, P
itestEnter matrix of joint probabilities P
The pair {X,Y} is NOT independentTo see where the product rule fails, call for D
disp(D)0 0 0 0 0
0 1 1 0 00 1 1 0 0
0 0 0 0 0
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The pair
has the joint distribution (in m-file
npr08_07.m ):
t = |
-3.1 |
-0.5 |
1.2 |
2.4 |
3.7 |
4.9 |
u = 7.5 |
0.0090 |
0.0396 |
0.0594 |
0.0216 |
0.0440 |
0.0203 |
4.1 |
0.0495 |
0 |
0.1089 |
0.0528 |
0.0363 |
0.0231 |
-2.0 |
0.0405 |
0.1320 |
0.0891 |
0.0324 |
0.0297 |
0.0189 |
-3.8 |
0.0510 |
0.0484 |
0.0726 |
0.0132 |
0 |
0.0077 |
Determine whether or not the pair
is independent.
npr08_07 Data are in X, Y, P
itestEnter matrix of joint probabilities P
The pair {X,Y} is NOT independentTo see where the product rule fails, call for D
disp(D)1 1 1 1 1 1
1 1 1 1 1 11 1 1 1 1 1
1 1 1 1 1 1
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For the distributions in Exercises 4-10 below
- Determine whether or not the pair is independent.
- Use a discrete approximation and an independence test to
verify results in part (a).
on the circle with radius one, center at (0,0).
Not independent by the rectangle test.
tuappr
Enter matrix [a b]of X-range endpoints [-1 1]
Enter matrix [c d]of Y-range endpoints [-1 1]
Enter number of X approximation points 100Enter number of Y approximation points 100
Enter expression for joint density (1/pi)*(t.^2 + u.^2<=1)
Use array operations on X, Y, PX, PY, t, u, and Pitest
Enter matrix of joint probabilities PThe pair {X,Y} is NOT independent
To see where the product rule fails, call for D % Not practical-- too large
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on the square with vertices at
(see
Exercise 11 from "Problems on Random Vectors and Joint Distributions").
Not independent, by the rectangle test.
tuappr
Enter matrix [a b]of X-range endpoints [0 2]
Enter matrix [c d]of Y-range endpoints [0 2]
Enter number of X approximation points 200Enter number of Y approximation points 200
Enter expression for joint density (1/2)*(u<=min(1+t,3-t)).* ...
(u>=max(1-t,t-1))
Use array operations on X, Y, PX, PY, t, u, and Pitest
Enter matrix of joint probabilities PThe pair {X,Y} is NOT independent
To see where the product rule fails, call for D
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Questions & Answers
what does the ideal gas law states
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
what is the change in momentum of a body?
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
physics, biology and chemistry
this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you.
Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
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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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