Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)

Question

Question

Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)

Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? Screen Shot 2021-12-13 at 7.28.47 PM.png

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

the answer is : 0.3528

answered by: anonymous

Add a comment

Answer 2

Similar Homework Help Questions

Let X = the time between two successive arrivals (in minutes) at a drive thru window....

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...
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 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...

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?
QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 1...

QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 16 customers per hour. Which of the following is most likely true, based on this information: a. The hair salon serves customers on a walk-in basis (rather than by appointment times) b. If 10 customers arrive in the first hour, it is likely that 22 customers will arrive in the next hour. c. If the salon can serve an average of 20 customers...
Four cars arrive at an intersection on average per minute. Assuming car arrivals occurs according to...

Four cars arrive at an intersection on average per minute. Assuming car arrivals occurs according to a Poisson process, answer the following questions. a. On average how much time will pass before the 6th car arrives. Define the random variable. b. The time that will pass before the 5th car arrives is a random variable. Define the random variable. Compute the variance of that random variable.

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes.

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes. a. What is the probability that the arrival time between customers will be 6 minutes or less? b. What is the probability that the arrival time between customers will be between 4 and 8 minutes?
Problem 6 Customers arrive randomly at a checkout counter at the average rate of 20 per...

Problem 6 Customers arrive randomly at a checkout counter at the average rate of 20 per hour. a) Determine the probability that the counter is idle b) What is the probability that at least two people are in line awaiting service? Problem'7 Customers shopping at Sprouts Store are both from east and west of Norman. The ones from the east of Norman arrive at the rate of 5 per minute. The ones from the west of Norman arrive at the...
30 customers per hour arrive at a bank on average. These arrivals are independent. There are...

30 customers per hour arrive at a bank on average. These arrivals are independent. There are employees to help the customers (a) What is the probability that there are more than two customers arrivals within 10 minutes. (b) What is the probability that the next customer to arrive at the bank arrives 2 or more minutes later. Show all work

5. A shop has an average of five customers per hour (a) Assume that the time T between any two cu...

A shop has an average of five customers per hour 5. A shop has an average of five customers per hour (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y, be exponential random variables modeling the time between the ith and i+1st c What is the probability that no customer arrives in the...

Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)

Homework Answers

Add Answer to:
Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)

Post as a guest

Earn Coins

Let X = the time between two successive arrivals (in minutes) at a drive thru window....

Customers arrive at a service facility according to a Poisson process with an average rate of 5 per hour.

Customers arrive at a service facility with one server according to a Poisson process with a...

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?

QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 1...

Four cars arrive at an intersection on average per minute. Assuming car arrivals occurs according to...

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes.

Problem 6 Customers arrive randomly at a checkout counter at the average rate of 20 per...

30 customers per hour arrive at a bank on average. These arrivals are independent. There are...

5. A shop has an average of five customers per hour (a) Assume that the time T between any two cu...

Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)

Homework Answers

Add Answer to: Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)

Post as a guest

Earn Coins

Add Answer to:
Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)