Every element shown in the circuit works independently of each
other. The working life length of each element has an exponential
distribution with parameter . That
is
. Find the density function of the working life length of the
entire system T.

The system will work when any of the subsystem in parallel works. That is if any out of 1st and 2nd is operational than the system would work, but for series all the subsystems jave to work in order to be operational.
hope
this helps
Every element shown in the circuit works independently of each other. The working life length of...
Every element shown in the circuit works independently of each
other. The working life length of each element has an exponential
distribution with parameter . That
is
. Find the density function of the working life length of the
entire system T.
We were unable to transcribe this imageT, ~ exp(%) 3 4 2
A juicer works for T amount of time before it breaks, where T
follows the exponential distribution with rate
= 3. After sales service examines the juicer at times distributed
according to a Poisson process with rate
= 2; if the juicer is found to be not working then it is
immediately substituted.
1) Find the probability that a juicer is examined at least 2
times before it stops working.
2) Find the expected time between replacements of juicers.
We...
Example 1: Electronic components of a certain type have a length life (in hours) X, that follows the exponential distribution with probability density given by f(x) = (1/100)e ^ [(− 1/100)x] , x > 0. a. Suppose that 2 such components operate independently and in series in a certain system (that is, the system fails when either component fails). Find the density function for the length of life of the system. b. Suppose that 2 such components operate independently and...
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,...
A square wire frame shown in the figure is on the x=0 plane at
t=0. Then it starts to move with a velocity of v =
vo.y.
The magnetic flux density is measured as B = Bo =
siny.cos2t.x
+ sinz.sin2t.y.
Find the voltage induced on the frame.
(The edge length of square frame is a.)
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this...
(6) The sequence of random variable
are independent of each other and they follow the normal
distribution
.
However, the actual value of were not
observed, instead we only observed if each is either
greater than or
equal to 0, or less than 0.
And you can use the fact that there is the inverse function
that is continuous.
Answer the following questions.
Find
the maximum likelihood estimator
of .
When
, show
, where
represents conversion of probability....
(19) i(t) By using the time-domain technique, find in the electric circuit shown in Figure P.6 when vs(t) is defined by Figure 2.19 We were unable to transcribe this imageWe were unable to transcribe this image
Suppose a system of ive components Ai,1 Si S 5 is arranged as follows 2 Assum e the lifetime of each component is exponentially distributed with parameter) and the components function independently. Let of the i-th component, that is the random variable defined by (Xi - t) means that the the i-th component stops working at time t. Saying that Xi has an exponenti distribution with parameter X means X, be the lifetime random variable and P(Xi s t)-1-e*. be...
By looking at the RLC circuit, determine which filter it is and
explain. Also write down transfer function for each RLC circuit.
(use
to express the function and find relation between and
)
s'ζ, wo We were unable to transcribe this imageWe were unable to transcribe this imageout out out
s'ζ, wo
out out out
A cube of edge length ℓ = 1.80 cm is positioned as shown in the
figure below. A uniform magnetic field given by = (6.1
î + 4.0 ĵ + 3.0 ) T
exists throughout the region.
We were unable to transcribe this imageWe were unable to transcribe this imageA cube of edge length 1.80 cm is positioned as shown in the figure below. A uniform magnetic field given by B (6.1 14.0j + 3.0 k) T exists throughout the...