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A bank has two tellers and they take an exponentially distributed time to deal with any customer. Let the parameters of these two service times be and respectively (assume independence).
You arrive to find exactly two customers present, each occupying a teller:
(a) You toss a fair coin and depending on the outcome you queue for one of the two tellers. What is the probability p that you are the last of the three customers to leave the bank?
(b) Suppose that you know and and you choose to be served by the quicker teller. What is p in this case?
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Customer service the duration t (in minutes) of customer service calls received by a certain company is given by the probability density function.
If one new person with a score of X=33 is added to the sample, what will be the value for the new mean? Be sure to show all steps
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Choose a course that you are currently taking in which the final exam is worth 100 points. Treating your score on the exam as if it were a continuous uncertain quantity, assess the subjective probability distribution for your score. After you have..
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Distributed with a mean of 8 minutes. What is the probability that it will take a worker between four and nine minutes to complete the task?
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