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The power failures in a certain region occur according to a Poisson process with rate λ1 = 1/5 per week. Moreover, the duration X (in hours) of a given power failure has an exponential distribution with parameter λ2 = 1/2.
Finally, we assume that the durations of the various power failures are independent random variables.
(a) What is the probability that the longest failure, among the first three power failures observed, lasts more than four hours?
(b) Suppose that there has been exactly one power failure during the first week considered. What is the probability that the failure had still not been repaired at the end of the week in question?
The incarceration rate in one nation's prisons was 965 per 100,000 male residents, and 65 per 100,000 female residents.
Two regression equations have been developed for different predictions based on different samples of equal size. In one, r = .79 while in the other r = .58. In which situation will the more accurate predictions be made?
the effectiveness of a new bug repellent is tested on 14 subjects for a 10 hour period. assume normally distributed
Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on textbooks during the fall semester.
At the 0,05 level, can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the earlier one?
it is speculated that statistics classes in community college has a retention rate of 65 this is the percentage of
Find the center of mass of the region bounded by the parabola y = 8 -2x^2 and the x-axis
bob nale is the owner of nales quick fill. bob would like to estimate the mean number of gallons of gasoline sold to
Test two integrated circuits. In each test, the probability of rejecting the circuit is p. Let X be the number of rejects (either 0 or 1) in the first test and let Y be the number of rejects in the second test. Find the joint PMF PX,Y (x, y).
40 were in favor of the Independent candidate, and 140 were undecided. At a 1% level of significance, test to see if the proportion of voters has changed. Calculate the value of the Chi-Square Test Statistic for this problem. What is it?
The Mumbai Cricket Club, a professional club for the cricketers
A high-performance aircraft, shown in Figure DP7.1 (a) uses the ailerons, rudder, and elevator to steer through a three-dimensional flight path [20]. The pitch rate control system for a fighter aircraft at 10.000 m and Mach 0.9 can be represented..
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