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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?
When a sample mean is greater than the true, population mean, the resulting difference is called:
Create by hand decision tree for this problem and then examine decision tree to recognize optimal policy. Use TreePlan to create and solve decision tree.
suppose the following data are selected randomly from a population of normally distributed values.44 51 43 48 45 57 54
a random sample of size 100 is to be taken from a population that has a proportion equal to 0.35. the sample proportion
Standard deviation of 12%. Assume that scores in both classes follow a normal distribution. Convert Maria's midterm score of 84 to a standard z score.
A specialty machine shop is improving the efficiency of its surface-grinding process [21]. The existing machine is mechanically sound, but manually operated.
in a large lecture course the scores on the final examination followed the normal curve closely. the average score was
As the video titled "Melissa Forman - Hilarious Resume Typos" (4 min 55 s) located at https://www.youtube.com/watch?v=FClWySJ6Sxs demonstrates it is very important to avoid mistakes when writing resumes and cover letters.
Identify the null hypothesis, alternative hypothesis, test statistic, p-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.
The design of Example 10.3 determined a lead network in order to obtain desirable dominant root locations using a cascade compensator Gc(s) in the system configuration shown in Figure 10.1 (a).
The number of requests for assistance received by a towing service is a Poisson process with average of 4 requests per hour*. a) Compute the probability that exactly ten requests are received during a particular 2 hour period.
give all answers to four decimal places. there are four different blood types that people have a b ab and o. we will
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