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Customers are arriving to a shop according to Poisson process with mean 3 customers/hour. What is...
Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers...
Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers per hour. Suppose we begin observing the bank at some point in time. What is the probability that 3 customers arrive in the first 1.8 hours? Customers arrive at a bank according to a Poisson process having a rate of 2.3 customers per hour. Suppose we begin observing the bank at some point in time. What is the expected value of the number of...
Suppose female customers come to a shop according to a Poisson process of rate λ per...
Suppose female customers come to a shop according to a Poisson process of rate λ per hour and male customers according to an independent Poisson process of rate µ per hour. a) What is the conditional distribution of the total number of female customers coming to the shop in the first hour given that the total number of customers coming to the shop in the first hour is n? b) What is the probability that the first customer coming to...
Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank...
Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank lobby has enough space for 10 customers. When the lobby is full, an arriving customers goes to another branch and is lost. The bank manager assigns one teller to customer service as long as the number of customers in the lobby is 3 or less. She assigns two tellers if the number is more than 3 but less than 8. Otherwise she assigns...
race cars arrive to a carwash according to a Poisson distribution with a mean of 5...
race cars arrive to a carwash according to a Poisson distribution with a mean of 5 cars per hour. a. What is the expected number of cars arriving in 2 hours?m b. What is the probability of 6 or less cars arriving in 2 hours? c. What is the probability of 9 or more cars arriving in 2 hours
The number of customers arriving per hour at a certain automobile service facility is assumed to...
The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean λ = 6. (a) Compute the probability that more than 20 customers will arrive in a 3-hour period. (b) What is the probability that the number of customers arriving in a 2-hour period will not exceed 40? (c) What is the mean number of arrivals during a 4-hour period?
Customers arrive at a service facility according to a Poisson process with an average rate of 5 per hour.
9. Customers arrive at a service facility according to a Poisson process with an average rate of 5 per hour. Find (a) the probabilities that (G) during 6 hours no customers will arrive, (i) at most twenty five customers will arrive; (b) the probabilities that the waiting time between the third and the fourth customers will be (i) greater than 30 min.,(ii) equal to 30 min., (ii)i greater than or equal to 30 min. (c) the probability that after the first customer has...
Customers arrive at a service facility according to a Poisson process of rate 5/hour. Let N(t)...
Customers arrive at a service facility according to a Poisson process of rate 5/hour. Let N(t) be the number of customers that have arrived up to time t (t hours) a. What is the probability that there is at least 2 customer walked in 30 mins? b. If there was no customer in the first 30 minutes, what is the probability that you have to wait in total of more than 1 hours for the 1st customer to show up?...
The number of customers arriving at a local business every 15 minutes is 3. Supposing the arrival...
The number of customers arriving at a local business every 15 minutes is 3. Supposing the arrival of customers follows a Poisson distribution, answer the following questions: What is the probability that exactly 5 people arrive in the next 15 minutes? What is the probability that at least 4 people arrive in the next 15 minutes? Probability that between 2 and 6 people arrive inclusive? Expected number to arrive in the next hour? Expected number to arrive in an 8 hour...
Customers arrive at a service facility with one server according to a Poisson process with a...
Customers arrive at a service facility with one server according to a Poisson process with a rate of 5 per hour. The service time are i.i.d. exponential r.v.´s, and on the average, the server can serve 7 customers per hour. Suppose that the system is in the stationary regime. (a) What is the probability that at a particular time moment, there will be no queue? (b) What is the probability that a particular time moment, there will be more than...
Packets arrive according to a Poisson process with rate λ. For each arriving packet, with probability...
Packets arrive according to a Poisson process with rate λ. For each arriving packet, with probability p the packet is “flagged”. Assume that each packet is flagged independently. Suppose that you start observing the packet arrival process at time t. Let Y denote the length of time until you see TWO flagged packets. 1.Derive the distribution of Y . 2.Find the mean of Y .
Customers arrive at a service facility according to a Poisson process of rate 5/hour. Let N(t) be the number of customers that have arrived up to time t (t hours) a. What is the probability that there is at least 2 customer walked in 30 mins? b. If there was no customer in the first 30 minutes, what is the probability that you have to wait in total of more than 1 hours for the 1st customer to show up?...
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