The amount of kerosene, in thousands of litres, in a tank at the
beginning of any day is a random amount Y from which a random
amount X is sold during that day. Suppose that the tank is not
resupplied during the day so that x y, and assume
that the joint density function of these of these variables is
Determine the correlation coefficient between X and Y and interpret the value calculated.
Homework Answers
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The amount of kerosene, in thousands of litres, in a tank at the
beginning of any...
Consider a potential well, whose potential is given by (a) Evaluate the reflection and transmission coefficient...
Consider a potential well, whose potential is given by (a) Evaluate the reflection and transmission coefficient for the case E > 0. (b) Use your result for the transmission coefficient obtained in (a) above, to evaluate the transmission coefficient for the potential barrier, (V0 > 0) for the case E < V0. Please show all steps thoroughly S-V, (-a <r <a) 10, elsewhere JV, (-a <r <a) V.C) = 0. elsewhere
There are 30 people that donated to a church. The amount each person donated has probability...
There are 30 people that donated to a church. The amount each person donated has probability density function Find out the probability that exactly 5 people donated between 20 and 30. ,(1)-(*(50-r), (50-x), ifo ifo < x < 50 otherwise TA
Let be the distribution function defined by Let be the Lebesgue-Stieltjes measure asociated to ....
Let be the distribution
function defined by
Let be the
Lebesgue-Stieltjes measure asociated to .
Determine the measurements of the fpllowing sets:
We were unable to transcribe this imageF(x) = 0 if 1+r if 2+x? if 19 if I <-1 -1 <r <0 0<r<2 > 2 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image(-1, 0]υ (1,2) 10, ) U (1, 2 (1 :...
The amount of kerosene, in thousands of litres, in a tank at the beginning of any...
The amount of kerosene, in thousands of litres, in a tank at the beginning of any day is a randon amount Y from which a random amount X is sold during that day. Suppose that the tank is not resupplied during the day so that x 5 y, and assume that the joint density function of these of these variables is 52, 10, elsewhere (a) Determine if X and Y are independent (b) Find HY (c) Determine the correlation coefficient...
Give algorithms for generating random variables from the following distributions. b. 1-2 if 0<<1
Give algorithms for generating random variables from the following distributions. b. 1-2 if 0<<1
Use equation (5.13) and the Fourier integral representation of to write a solution of the problem...
Use equation (5.13) and the Fourier integral representation of
to write a
solution of the problem on the real line:
Also reformulate the solution using equation (5.18).
Problem:
Equation (5.13):
Equation (5.18):
f(r kurr for x<, t> 0 ut u(x,0) f(r) for 7 for r> f (z)sin 0 u(x, 0) acos(wr)sin (wr)]e-ktdu u(, t) 2 T kt f()e (-)2/4ktds
Using the result of exercise 7(see question 7 below), give algorithms for generating random variables from...
Using the result of exercise 7(see question 7 below), give
algorithms for generating random variables from the following
distributions.
b.
1-2 if 0<<1 7. (The Composition Method) Suppose it is relatively easy to generate random variables from any of the distributions F,,-I, . . . , n. How could we generate a random variable having the distribution function 12 i-1 where p,, -1.... . n, are nonnegative numbers whose sum is 1?
Let be the distribution
function defined by
Let be the
Lebesgue-Stieltjes measure asociated to .
Determine the measurements of the fpllowing sets:
We were unable to transcribe this imageF(x) = 0 if 1+r if 2+x? if 19 if I <-1 -1 <r <0 0<r<2 > 2 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image(-1, 0]υ (1,2) 10, ) U (1, 2 (1 :...
The amount of kerosene, in thousands of litres, in a tank at the beginning of any day is a randon amount Y from which a random amount X is sold during that day. Suppose that the tank is not resupplied during the day so that x 5 y, and assume that the joint density function of these of these variables is 52, 10, elsewhere (a) Determine if X and Y are independent (b) Find HY (c) Determine the correlation coefficient...
Use equation (5.13) and the Fourier integral representation of
to write a
solution of the problem on the real line:
Also reformulate the solution using equation (5.18).
Problem:
Equation (5.13):
Equation (5.18):
f(r kurr for x<, t> 0 ut u(x,0) f(r) for 7 for r> f (z)sin 0 u(x, 0) acos(wr)sin (wr)]e-ktdu u(, t) 2 T kt f()e (-)2/4ktds
Using the result of exercise 7(see question 7 below), give
algorithms for generating random variables from the following
distributions.
b.
1-2 if 0<<1 7. (The Composition Method) Suppose it is relatively easy to generate random variables from any of the distributions F,,-I, . . . , n. How could we generate a random variable having the distribution function 12 i-1 where p,, -1.... . n, are nonnegative numbers whose sum is 1?
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