A call center has a mean waiting time of five minutes and is distributed exponentially. Find the probability that a call has to wait between three and six minutes.
A call center has a mean waiting time of five minutes and is distributed exponentially. Find...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean 60 seconds. (a) What is the probability that exactly 4 calls arrive in the next 2 minutes? (6) What is the probability that at least 2 calls arrive in the next 2 minutes? (c) What is the probability that no buses arrive in the next 2 minutes? (d) Given that a call has just arrived, what is the probability that the next call arrives...
The time between arrivals of taxis is exponentially distributed with a mean of 10 minutes. a) You are fourth in line looking for a taxi. What is the probability that exactly 3 taxis arrive within one hour? b) Suppose the other three parties just decided to take the subway and you are now the first in line for the next taxi. Determine the time t such that the probability you wait less than t minutes from now until the next...
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the variance of the waiting time is 4. Find the probability that a person will wait for between 6 and 9 minutes. Round your answer to four decimal places
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (ii) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes? (iii) Determine x such that the probability that you wait more than x minutes is 0.10. (iv) Determine x such that the probability that you wait less than x minutes is 0.90.
8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF fr(t) = te-t/5 for t > 0. Given that you have just waited 4 minutes since the last request for treats, your expected wait until the next request in minutes) is:
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the standard deviation of the waiting time is 2 minutes. Find the probability that a person will wait for more than 8 minutes. Round your answer the four decimal places.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the standard deviation of the waiting time is 3 minutes. Find the probability that a person will wait for less than 7 minutes. Round your answer to four decimal places.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the standard deviation of the waiting time is 22 minutes. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the standard deviation of the waiting time is 2 minutes. Find the probability that a person will wait for more than 9 minutes. Round your answer to four decimal places.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 77 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for less than 88 minutes. Round your answer to four decimal places.