The interarrival time of customers for 60 min was monitored and reported below: 0.56974538 6.25245930 4.38116270...
The interarrival time of customers for 60 min was monitored and reported below:
0.56974538 6.25245930 4.38116270 2.73018725 0.01947573 2.05621644
0.95476822 0.20938206 0.36555334 13.31611807 1.84342165 3.85799384
0.78148032 0.06480221 1.01586982 1.54638918 1.65045201 8.62226018
1.41718532 3.75108604
What is p-value of the KS test testing the hypothesis that the interarrival times are exponentially distributed?
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The interarrival time of customers for 60 min was monitored and
reported below:
0.56974538 6.25245930 4.38116270...
Consider the case of a grocery store where the interarrival time between two customers consecutively entering...
Consider the case of a grocery store where the interarrival time between two customers consecutively entering the store is known to be exponentially distributed. Previously collected data shows that 1800 customers were recorded to have entered the store in 300 hours. Answer the following: (a) What is the probability density function for the inter-arrival time (in minutes) between two consecutively arriving customers? (15) (b) What is the probability that the next customer will arrive AFTER five minutes? (10) (c) What...
Waiting lines Customers walk in at random to a deli. The interarrival times are exponentially distributed...
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Waiting lines Customers walk in at random to a deli. The interarrival times are exponentially dis...
Waiting lines Customers walk in at random to a deli. The interarrival times are exponentially distributed with an average of 5 minutes. The deli prepares one order at a time. The order preparation times are exponentially distributed with an average of 3 minutes. 13. What kind of waiting line model is appropriate for the deli? 14. What is the utilization? 15. What is the total amount of time a customer would expect to spend at the deli (from walking in...
What is the probability that exactly 4 customers will arrive in 1 hour, when the mean...
What is the probability that exactly 4 customers will arrive in 1 hour, when the mean arrival rate is 3 customers per hour, and interarrival times are exponentially distributed? a 0.3528 b 0.1847 c 0.1680 d 0.8153 e 0.6472
Homogeneous Poisson process N(t) counts events occurring in a time interval and is characterized by Ņ(0)-0...
Homogeneous Poisson process N(t) counts events occurring in a time interval and is characterized by Ņ(0)-0 and (t + τ)-N(k) ~ Poisson(λτ), where τ is the length of the interval (a) Show that the interarrival times to next event are independent and exponentially distributed random variables (b) A random variable X is said to be memoryless if P(X 〉 s+ t | X 〉 t) = P(X 〉 s) y s,t〉0. that this property applies for the interarrival times if...
There are 3 servers in the checkout area. The average interarrival time of customers is 2...
There are 3 servers in the checkout area. The average interarrival time of customers is 2 minutes. The processing time is 5 minutes. The coefficients of variation for the arrival process and the service process are 1 and 0.85 respectively. What is the average number of people waiting for service? A.) 14.42; B) 15.42; C) 16.42; D) 13.42
Executives of a supermarket chain are interested in the amount of time that customers spend in...
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, , spent by customers at the supermarkets has been reported to be 38 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that his greater than 38 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes...
**LOOKING FOR FORMULAS, ANSWERS PROVIDED. Problem-1: At a single-phase, multiple-channel service facility, customers arrive randomly. Statistical...
**LOOKING FOR FORMULAS, ANSWERS PROVIDED. Problem-1: At a single-phase, multiple-channel service facility, customers arrive randomly. Statistical analysis of past data shows that the interarrival time has a mean of 20 minutes and a standard deviation of 4 minutes. The service time per customer has a mean of 15 minutes and a standard deviation of 5 minutes. The waiting cost is $200 per customer per hour. The server cost is $25 per server per hour. Assume general probability distribution and no...
Figure 6S-1 Customers enter a haberdashery that sells only ascots, cufflinks and suspenders and are served by the own...
Figure 6S-1 Customers enter a haberdashery that sells only ascots, cufflinks and suspenders and are served by the owner operator. The owner is the only employee, so if customer B arrives while customer A is being served, customer B must patiently wait until customer A exits the system. Customers are always willing to wait regardless of how long their wait is. The interarrival and service times are uniformly distributed and shown in the table below. Range Interarrival (min) Service (min)...
Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times...
Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01? Recent...
Waiting lines Customers walk in at random to a deli. The interarrival times are exponentially distributed with an average of 5 minutes. The deli prepares one order at a time. The order preparation times are exponentially distributed with an average of 3 minutes. 13. What kind of waiting line model is appropriate for the deli? 14. What is the utilization? 15. What is the total amount of time a customer would expect to spend at the deli (from walking in...
Waiting lines Customers walk in at random to a deli. The interarrival times are exponentially distributed with an average of 5 minutes. The deli prepares one order at a time. The order preparation times are exponentially distributed with an average of 3 minutes. 13. What kind of waiting line model is appropriate for the deli? 14. What is the utilization? 15. What is the total amount of time a customer would expect to spend at the deli (from walking in...
Homogeneous Poisson process N(t) counts events occurring in a time interval and is characterized by Ņ(0)-0 and (t + τ)-N(k) ~ Poisson(λτ), where τ is the length of the interval (a) Show that the interarrival times to next event are independent and exponentially distributed random variables (b) A random variable X is said to be memoryless if P(X 〉 s+ t | X 〉 t) = P(X 〉 s) y s,t〉0. that this property applies for the interarrival times if...
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, , spent by customers at the supermarkets has been reported to be 38 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that his greater than 38 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes...
Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01? Recent...
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