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.
The inter arrival time between bus arrivals is exponentially distributed with .
We need to find the conditional probability,
The inter arrival time between bus arrivals is exponentially distributed with an average time of 14minutes....
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...
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...
If the time between consecutive arrivals in an arrival process is exponentially distributed, then the number of arrivals within a given, fixed time window is: Governed by a hypergeometric distribution Also governed by an exponential distribution Governed by a binomial distribution Governed by a Poisson distribution
1. Suppose that the time between arrivals of insect pollinators to a flowering plant is exponentially distributed with parameter = 0.3hr • Find the mean and standard deviation of the waiting time between suc- cessive pollinator arrivals . If a pollinator just left the plant, what is the probability that you will have to wait for more than three hours before the next pollinator arrives? 2019:4 Fall, MATH5680:001 Intro to Theory of Probability
The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M. (a) Find the probability density function for the random variable t. (Let t-0 represent 10:00 A.M.) (b) Find the mean and standard deviation of the the arrival times. (Round your standard deviation to three decimal places.) (с) what is the probability that you will miss the bus if you amve at the bus stop at 10:02 A M ? Round your answer...
Let X = the time between two successive arrivals (in minutes) at a drive thru window. Suppose X is exponentially distributed, and that the average time between successive arrivals at the drive thru window is 1.2 minutes. What is the value of lambda, the parameter of exponential distribution? What is the probability that the next drive thru arrival is between 1 to 4 minutes from now? What is the probability that the next drive thru arrival is greater than 2...
what is the assumption behind modelling inter-arrival waiting time as an exponentially distributed variable?
The time between the arrival of electronic messages at a computer is exponentially distributed with a mean of 1,2 hours. A) What is the probability that you do not receive a message during a two hour period ? B) If you have not receive a message in the next two hours?
2. Suppose buses arrive at a bus stop according to an approximate Poisson process at a mean rate of 4 per hour (60 minutes). Let Y denote the waiting time in minutes until the first bus arrives. (a) (5 points) What is the probability density function of Y? (b) (5 points) Suppose you arrive at the bus stop. What is the probability that you have to wait less than 5 minutes for the first bus? (c) (5 points) Suppose 10...