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.
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...
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...
(10%) Problem 10: A rotating system consists of four particles, each of mass M = 0.87 kg, fixed at distances from the rotation axis that are all integer multiples of the length L = 0.21 m. 13% Part (b) Calculate, in units of kilogram meters squared, the moment of inertia of the system when each particle is fixed at distance L from the rotation axis. 13% Part (c) Enter an expression, in terms of the quantities defined in the problem,...