8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF...
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...
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.
10. The times between train arrivals at a certain train station is exponentially distributed with a mean of 10 minutes. I arrived at the station while Dayer was already waiting for the train. If Dayer had already spent 8 minutes before I arrived, determine the following a. b. c· The average length of time I will wait until the next train arrives The probability that I will wait more than 5 minutes until the next train arrives The probability that...
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.
Suppose that the amount of service(ordering a coffee and getting it done) time at a KU driving- through coffee shop is exponentially distributed with an expected value of 10 minutes. You arrive at the driving-through line while one customer is being served and one other customer is waiting in the line. The staff of the coffee shop informs you that the customer has already ordered a Cafe Latte and waited for 5 minutes. What is the probability that the customer...
The time between failures of a laser in a machine, X, is exponentially distributed with a mean of 25,000 hours. In other words, 1 a= (failures/hour). 25,000 Exponential Distribution (pdf): f(x) = 1.0-\x, for x > 0. (a) What is the probability that the next failure occurs in 27,000 hours? (b) What is the expected time until the third failure? (c) What is the probability that the time until the third failure exceeds 25,000 hours?
The inter arrival time between bus arrivals is exponentially distributed with an average time of 14minutes. Suppose that you have already been waiting at the bus stop for 3 minutes. Find the probability that the bus will arrive within the next 4minutes.
Two turtles are racing. Turtle A's time is exponentially distributed with a mean of two minutes. Turtle B's time is exponentially distributed with a mean of 3 minutes. Assume that their times are independent. A. What is the the variance of the winner? B.What is the pdf of the time difference between the loser and the winner (by how much faster does the turtle win?)
Consider a simple queuing system in which customers arrive randomly such that the time between successive arrivals is exponentially distributed with a rate parameter l = 2.8 per minute. The service time, that is the time it takes to serve each customer is also Exponentially distributed with a rate parameter m = 3 per minute. Create a Matlab simulation to model the above queuing system by randomly sampling time between arrivals and service times from the Exponential Distribution. If a...
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter À-1/6. If it does not rain (under the event F), T is exponentially distributed with the parameter λ 1/2 The percentage of raining time is 0.3 (a) Find the PDF of Tand the expected value ET]. (b) Find the PDF of T given that B [T 6] 2. Random variables X and Yhave the joint PDF otherwise (a)...