
Customers arrive at a gas station with the rate λ = 4 per hour. The station...
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Customers arrive at a bank at a Poisson rate λ. Suppose two customers arrived during the first hour. What is the probability that (a) both arrived during the first 20 minutes? (b) at least one arrived during the first 20 minutes?
Customers arrive at a bank at a Poisson rate λ. Suppose two customers arrived during the first hour. What is the probability that (a) both arrived during the first 20 minutes? (b) at least...
Customers arrive randomly at a gas station at the average rate of 30 per hour, while attendants can handle transactions on an average time of 5 minutes each (with exponential distribution). If a clerk cost is $15 per hour and customer waiting time represents a cost of $10 per hour, how many clerks can be justified on a cost basis?
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 store at a mean rate 10 per hour. a) Find the probability that exactly 6 customers arrive in 35 min. b) Find the prob that at least 6 arrive in 35 min. ============ Please show full answers to get upvote Thanks
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?...
At a walk-in clinic, assume that on average exactly 6.00 patients arrive per hour, that this is true regardless of the day and the hour of the day, and that it is independent of how many patients have already arrived that hour. e) It is now 10:00 AM. A patient arrived 9:45 AM (15 minutes ago), and no other patient has arrived since then. What is the probability that the next patient will arrive before 10:30 AM?
suppose vehicles arrive at COVID-19 drive-through test station with the rate of 24 per hour on average. Round the values to the nearest hundredth if needed. 1/ What is the probability that exactly one vehicle arrives during next five minutes? 2/ What is the probability that there will be at least one vehicle during the next five minutes? 3/ Suppose that an arriving vehicle will have test positive with probability .01. What is the probability that at least 1 vehicle...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...