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1. Suppose that four calls per minute arrive at a switchboard and that the arrival of calls follows a Poisson process. What is the probability that the next call will arrive within seven minutes? Suppose that a malfunction dis- ables the switchboard for two minutes. What is the probability that no calls arrive during this period?
2. System failures at an industrial facility are approximately Poisson dis- tributed with λ = 0.25 per hour (the system experiences a failure every four hours). If system startup begins at 7 A.M. on a typical work day and T is the time until the first failure occurs, find
(a) The probability that it is at least two hours until the first failure occurs
(b) The probability that it is no more than six hours until the first failure occurs
(c) The average time to the first failure
(d) The probability that the time to the next failure exceeds the average time to failure.
there are 30000 students enrolled at city university. 1 a simple random sample of 400 city university students was
Firms with a reputation for ethical behavior in strategic alliances are likely to have more opportunities to form cooperative strategies than those that have not earned this reputation
Hardluck Harry has a batting average of .200 (i.e., a 20 percent chance of a hit each time he's at bat). Scouts for a rival baseball club secretly observe Harry's performance in 12 random times at bat. What is the probability that Harry will get at l..
Precisely (i.e., using specific numbers) what does central limit theorem tell us about sampling distribution of sample means for samples of this size from this population?
If the suspect was selected from a group of suspects of which only 5 percent are guilty of having committed a crime, and the serum indicates that the suspect is guilty of having committed a crime, what is the probability that the suspect is innoce..
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Determine the probability of fatal accident over lifetime? Describe your reasoning carefully. Suppose independent events. Why might the supposition of independence be violated?
The sample of 200 voters and tests Ho: P=0.5 versus H1:P(not equal)0.5 at 5% level. What is the power of the test if the true value of P is 0.55?
Give an example representing a discrete probability distribution and a continuous probability distribution. Explain why your choice is discrete and continuous.
Compute the number of French fries that would have to be sampled and measured to be 98% sure of being within 0.4 cm of the true mean.
Express your answer as a fraction in lowest terms.
computing the mean median range and standard deviation for the given data.weekly salaries in dollars for a sample of
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