Ιf urban buses go through a stop every 15 minutes, identify: 1) Τhe chance of one...
Ιf urban buses go through a stop every 15 minutes, identify:
1) Τhe chance of one person remaining for at least 10 minutes
2) Τhe average waiting time
3) The variance.
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Ιf urban buses go through a stop every 15 minutes, identify:
1) Τhe chance of one...
3. You are waiting at a bus stop and can take any one of two buses...
3. You are waiting at a bus stop and can take any one of two buses Bus 1 or Bus 2. Bus 1 comes every 5 minutes and Bus 2 every 10 minutes. Further assume that the waiting times are memoryless in the sense that the amount of time since the previous bus arrived does not affect how much time to wait until the next bus comes and that the waiting times for each of the three buses are independent....
You are waiting at a bus stop and can take any one of two buses Bus...
You are waiting at a bus stop and can take any one of two buses Bus 1 or Bus 2. Bus 1 comes every 5 minutes and Bus 2 every 10 minutes. Further assume that the waiting times are memoryless in the sense that the amount of time since the previous bus arrived does not affect how much time to wait until the next bus comes and that the waiting times for each of the three buses are independent. (a)...
QUESTION 7 Buses arrive and depart from a college every 20 minutes. The probability density function...
QUESTION 7 Buses arrive and depart from a college every 20 minutes. The probability density function for the waiting time t (in minutes) for a person arriving at the bus stop is f (t) = 20 on the interval [0, 20). Find the probability that the person will wait no longer than 5 minutes. 1 20 20 O a. 1 Ob. 5 1 Oc4 3 d. 4 1 100 e.
A bus comes by every 15 minutes. The times from when a person arives at the...
A bus comes by every 15 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 15 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 5 minutes is d. Suppose that the person has...
at CNG gas station, on average 3 CNG operated buses arrive every 15 minutes. what kind...
at CNG gas station, on average 3 CNG operated buses arrive every 15 minutes. what kind of probability distribution would be suitable to describe the number of buses arriving? Also , find the probability that during a sample 15 minutes confirming to this distribution the probability of 2 buses would arrive at the gas station
2. Suppose buses arrive at a bus stop according to an approximate Poisson process at a...
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...
3. Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is,...
3. Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7, 7:15, 7:30, 7:45, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:40, find the probability that he waits more than 10 minutes for a bus.
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and...
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. Use the Q.xls calculator to answer the following questions. What percentage of time is Judy idle? How long is the (waiting) line, on average (Lq)? How much time, on average,...
For questions 1-3 Customers arrive at the Cox Store at an average of one every 15...
For questions 1-3 Customers arrive at the Cox Store at an average of one every 15 minutes and their requests take on average 10 minutes to be processed. The service counter is staffed by only one Cox representative, Mark, who works from 9AM to 5PM every day. Assume Poisson arrivals and exponential service times. 1. What are the arrival and service rates that should be used for this problem? A. λ = 4 customers/hour μ = 6 customers/hour B. λ =...
Students arrive at the Administrative Services Office at an average of one every 24 minutes, and...
Students arrive at the Administrative Services Office at an average of one every 24 minutes, and their requests take on average 20 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.) Percentage of time --------------% b. How much time, on average, does a student spend waiting...
3. You are waiting at a bus stop and can take any one of two buses Bus 1 or Bus 2. Bus 1 comes every 5 minutes and Bus 2 every 10 minutes. Further assume that the waiting times are memoryless in the sense that the amount of time since the previous bus arrived does not affect how much time to wait until the next bus comes and that the waiting times for each of the three buses are independent....
You are waiting at a bus stop and can take any one of two buses Bus 1 or Bus 2. Bus 1 comes every 5 minutes and Bus 2 every 10 minutes. Further assume that the waiting times are memoryless in the sense that the amount of time since the previous bus arrived does not affect how much time to wait until the next bus comes and that the waiting times for each of the three buses are independent. (a)...
QUESTION 7 Buses arrive and depart from a college every 20 minutes. The probability density function for the waiting time t (in minutes) for a person arriving at the bus stop is f (t) = 20 on the interval [0, 20). Find the probability that the person will wait no longer than 5 minutes. 1 20 20 O a. 1 Ob. 5 1 Oc4 3 d. 4 1 100 e.
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...
3. Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7, 7:15, 7:30, 7:45, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:40, find the probability that he waits more than 10 minutes for a bus.
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