1. The time (in minutes) between telephone calls at an office is exponentially distributed with the following distribution. fx=0.5e-0.5x/μ , for x≥0 Please answer the following questions:
a. What is the probability of having 1.5 minutes or less between telephone calls?
b. What is the probability of having 5 minutes or more between telephone calls?
1. The time (in minutes) between telephone calls at an office is exponentially distributed with the...
1. The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes. (a) What is the probability that there are more than three calls in one-half hour? (b) What is the probability that there are no calls within one half hour? (c) Determine x such that the probability that there are no calls within x hours is 0.01
Problem 3-33 (Algorithmic) The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(z) 0.40e 0.40s for x 2 0 a. What is the mean time between telephone calls? Mean time (H)- minutes b. what is the probability of 18 seconds or less between telephone calls? (Note: 18 seconds = 0.30 minutes) If required, round your answer to four decimal places. P (x s 0.30)- c. What is the probability of 3 minute...
The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x) = 0.20 -0.202 for x 20 a. What is the mean time between telephone calls? Mean time (u) = minutes b. What is the probability of 36 seconds or less between telephone calls? (Note: 36 seconds = 0.60 minutes) If required, round your answer to four decimal places. P(x S 0.60) - c. What is the probability of 3 minute or less...
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 calls to a plumbing supply business is exponentially distributed with a mean time between calls of 5-minutes. A) What is the probability that at least one call arrives within a 10-minute interval? B) What is the probability that at least one call arrives within 8 and 16 minutes after opening?
the time between calls to a plumbing supply business is exponentially distributed withh a mean time bwtween calls of 10 minutes mean time between calls of 10 minutes 1 (a) What is the probability that there are no calls within a 10-miwate Interval? (b) What is the probability that at least one call serivos within a 1s misvute interval? (e) Determine the lengsh of an interval of time such thai the probability of no ealls in the Interval is 0.40.
The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 14 minutes. (a) What is the probability that there are no calls within a 30-minute interval? 10.1353 (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? || 0.4866 (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and...
The time between calls to a corporate office is exponentiallydistributed with a mean of 10 minutes. Find: a.) fx(X) b.) Probability that there are no calls within one-half hour? c.) Given that you have already been waiting for half an hour. How long do you expect to wait until the next call?
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.
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...