Two electronic components of a missile system work in harmony for the success of the total...
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Two electronic components of a missile system work in harmony
for the success of the total...
Suppose that two electronic components in the guidance system for a missile operate independently and that...
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a life length governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). 1 + a2Y2, then it can be shown that the If Y1 and Y2 are independent random variables with moment-generating functions my, (t) and my (t), respectively, and a, and an are constants, and U = a moment-generating function for U is my(t) = my,...
Let X and y denote the failure times of two components of an electrical system. suppose...
Let X and y denote the failure times of two components of an electrical system. suppose that two random variables X and Y have the joint density f(x,y)=4e^(-2x-2y) for x>0,y>0. Find the Marginal Density functions of Xand Y as well as covariance of X and Y
15. Let X and Y denote the lengths of life, in hundreds of hours, for co...
15. Let X and Y denote the lengths of life, in hundreds of hours, for co ponents of typesI and types II, respectively in an electronic system. The joint density of X and Y is given by Bre" (z +v)/2 f(z, y) = otherwise Find the probability that a component of type II will have a life lenght in excess of 200 hours. 16. Let the random variables X and Y have the joint p.d.f a. f(z,y)=ī, for (z,y) =...
A device runs until either of two components fails, at which time the device stops running. The j...
A device runs until either of two components fails, at which time the device stops running. The joint probability density function of the lifetimes of the two components, both measured in hours, is given by Ш for 0 < z < 3 and 0SyS3, xy(,y)27 0 otherwise. (a) 6 points Find the marginal probability density function for the random variable X. (b) [8 points] Are X and Y independent random variables? Justify your answer. (c) 6 points] Calculate the probability...
QUESTION 1 The length of life of an electronic component used in a guidance control system...
QUESTION 1 The length of life of an electronic component used in a guidance control system for missiles is assumed to follow a Weibull distribution with density given by >0, θ > 0 Let Yı,Y2, ,Y10 denote a random variables for the lifetime of a sample of size n= 10 of these electronic components. We wish to construct a 95% confidence interval for θ (a) Find the maximum likelihood estimator, 6, of 0. (b) Find the distribution of U =...
If two random variables have the joint density (x + y2), for 0 < x <...
If two random variables have the joint density (x + y2), for 0 < x < 1, 0 < y < 1 0, elsewhere. find the probability that 0.2 < X < 0.5 and 0.4 <Y < 1.6. With reference to the previous Problem 6, find both marginal densities and use them to find the probabilities that a. X > 0.8; b. Y < 1.5.
Let X and Y be two continuous random variables having the joint probability density 24xy, for...
Let X and Y be two continuous random variables having the joint probability density 24xy, for 0 < x < 1,0<p<1.0<x+y<1 0, elsewhere Find the joint probability density of Z X + Y and W-2Y.
how these marginal density functions are calculated??? Example 4.14:l The fraction X of male runners and...
how these marginal density functions are calculated???
Example 4.14:l The fraction X of male runners and the fraction Y of female runners who compete in marathon races are described by the joint density function CheK D 0, elsewhere. Find the covariance of X and y Solution: We first compute the marginal density functions. They are 0, elsewhere and 0, elsewhere. From these marginal density functions, we compute by inte From the joint density function given above, we have ue refills...
) Let X, Y be two random variables with the following properties. Y had density function...
) Let X, Y be two random variables with the following
properties. Y had
density function fY (y) = 3y
2
for 0 < y < 1 and zero elsewhere. For 0 < y < 1, given
Y = y, X
had conditional density function fX|Y (x | y) = 2x
y
2 for 0 < x < y and zero elsewhere.
(a) Find the joint density function fX,Y . Be precise about where
the values (x, y) are non-zero....
a paylaşıyor. ability Distributions pot Classroom Practice-z Open with Google Slides - An electronic circuit has...
a paylaşıyor. ability Distributions pot Classroom Practice-z Open with Google Slides - An electronic circuit has one of each of two different types of components in joint operation. Let X1 and X, denote the lifetimes of these components. Assume the following joint probability density function. f(x1, xy) = {(1/8)x, e-(x+x)/2 X, > 0, x2 > 0 elsewhere a) Are X, and X, independent? b) Find P(x > 1|X2 = 2) and P(X > 1,X, > 1). Page 23 / 31...
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a life length governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). 1 + a2Y2, then it can be shown that the If Y1 and Y2 are independent random variables with moment-generating functions my, (t) and my (t), respectively, and a, and an are constants, and U = a moment-generating function for U is my(t) = my,...
15. Let X and Y denote the lengths of life, in hundreds of hours, for co ponents of typesI and types II, respectively in an electronic system. The joint density of X and Y is given by Bre" (z +v)/2 f(z, y) = otherwise Find the probability that a component of type II will have a life lenght in excess of 200 hours. 16. Let the random variables X and Y have the joint p.d.f a. f(z,y)=ī, for (z,y) =...
A device runs until either of two components fails, at which time the device stops running. The joint probability density function of the lifetimes of the two components, both measured in hours, is given by Ш for 0 < z < 3 and 0SyS3, xy(,y)27 0 otherwise. (a) 6 points Find the marginal probability density function for the random variable X. (b) [8 points] Are X and Y independent random variables? Justify your answer. (c) 6 points] Calculate the probability...
QUESTION 1 The length of life of an electronic component used in a guidance control system for missiles is assumed to follow a Weibull distribution with density given by >0, θ > 0 Let Yı,Y2, ,Y10 denote a random variables for the lifetime of a sample of size n= 10 of these electronic components. We wish to construct a 95% confidence interval for θ (a) Find the maximum likelihood estimator, 6, of 0. (b) Find the distribution of U =...
If two random variables have the joint density (x + y2), for 0 < x < 1, 0 < y < 1 0, elsewhere. find the probability that 0.2 < X < 0.5 and 0.4 <Y < 1.6. With reference to the previous Problem 6, find both marginal densities and use them to find the probabilities that a. X > 0.8; b. Y < 1.5.
Let X and Y be two continuous random variables having the joint probability density 24xy, for 0 < x < 1,0<p<1.0<x+y<1 0, elsewhere Find the joint probability density of Z X + Y and W-2Y.
how these marginal density functions are calculated???
Example 4.14:l The fraction X of male runners and the fraction Y of female runners who compete in marathon races are described by the joint density function CheK D 0, elsewhere. Find the covariance of X and y Solution: We first compute the marginal density functions. They are 0, elsewhere and 0, elsewhere. From these marginal density functions, we compute by inte From the joint density function given above, we have ue refills...
) Let X, Y be two random variables with the following
properties. Y had
density function fY (y) = 3y
2
for 0 < y < 1 and zero elsewhere. For 0 < y < 1, given
Y = y, X
had conditional density function fX|Y (x | y) = 2x
y
2 for 0 < x < y and zero elsewhere.
(a) Find the joint density function fX,Y . Be precise about where
the values (x, y) are non-zero....
a paylaşıyor. ability Distributions pot Classroom Practice-z Open with Google Slides - An electronic circuit has one of each of two different types of components in joint operation. Let X1 and X, denote the lifetimes of these components. Assume the following joint probability density function. f(x1, xy) = {(1/8)x, e-(x+x)/2 X, > 0, x2 > 0 elsewhere a) Are X, and X, independent? b) Find P(x > 1|X2 = 2) and P(X > 1,X, > 1). Page 23 / 31...
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