Question

During peak hours the Poisson Pizza Café receives orders according to a Poisson distribution. On average...

During peak hours the Poisson Pizza Café receives orders according to a Poisson distribution. On average there are 1 orders every 5 minutes. What is the probability that at most 3 minutes will pass between any two consecutive orders during peak hours?

(Give the probability rounded to four decimal places.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A company receives 20 faxed orders every two hours (2) What is the probability that it...
A company receives 20 faxed orders every two hours (2) What is the probability that it will receive 8 orders in the next hour? (2) What is the probability that an order will be faxed within the next 9 minutes? (3) What is the probability that more than 12 minutes will elapse between faxed orders? (5) The company also receive online orders. These orders are over $200 on average 15% of the time. What is the probability that in a...
The frequency in which a restaurant receives​ on-line delivery orders follows an exponential distribution with a...
The frequency in which a restaurant receives​ on-line delivery orders follows an exponential distribution with a mean of 10.36 minutes between orders. Using this​ information, complete parts ​(a) through ​(f) for this question. a) The probability that the restaurant will receive their next​ on-line delivery order in less than 5.1 minutes is ​(Round to four decimal places as​ needed.) ​b) The probability that the restaurant will wait between 9 and 11.4 minutes after getting a new​ on-line delivery order is...
Cars arrive to a gas station according to a Poisson distribution with a mean of 4...
Cars arrive to a gas station according to a Poisson distribution with a mean of 4 cars per hour. Use Excel or StatCrunch to solve. a. What is the expected number of cars arriving in 2 hours, or λt? b. What is the probability of 6 or less cars arriving in 2 hours? ROUND TO FOUR (4) DECIMAL PLACES. c. What is the probability of 9 or more cars arriving in 2 hours? ROUND TO FOUR (4) DECIMAL PLACES.
The number of customers that enter a Starbucks follows a Poisson distribution with an average of...
The number of customers that enter a Starbucks follows a Poisson distribution with an average of 2 customers every 15 minutes. (a) What is the probability that on the next hour at least six customers enter this Starbucks? (b) Assuming that a customer just walked in, what is the probability that the next customer walks in after 15 minutes? (c) Suppose 5% of people who pass this Starbucks enter for a coffee. What are the chances that among the next...
Visitors arrive to an internet site according to a Poisson process with an average of 10...
Visitors arrive to an internet site according to a Poisson process with an average of 10 visitors per hour. Use this information to answer the following questions. 1.What is the probability that 12 visitors arrive in an hour? (Use 4 decimal places) 2. What is the probability that at least 20 minutes elapse between visitors to the website? (Use 4 decimal places) 3.What is the probability that at least 2 visitors come to the website in 30 minutes? (Use 4...
At an airport domestic flight arrive according to a Poisson distribution with rate 5 per hour,...
At an airport domestic flight arrive according to a Poisson distribution with rate 5 per hour, and international flights arrive according to a Poisson distribution with rate 1 per hour. What is the probability that the time between third and fourth flight arrivals is more than 15 minutes?
A customer support center for a computer manufacturer receives an average of 1.3 phone calls every...
A customer support center for a computer manufacturer receives an average of 1.3 phone calls every five minutes. Assume the number of calls received follows the Poisson distribution. b. What is the probability that 3 or more calls will arrive during the next five? minutes? c. What is the probability that 3 calls will arrive during the next ten? minutes? d. What is the probability that no more than 2 calls will arrive during the next ten? minutes?
Poisson probability distribution for a drive-up restaurant an average of 5 customers every 10 minutes. Find...
Poisson probability distribution for a drive-up restaurant an average of 5 customers every 10 minutes. Find the probability of A) no customers in 10 minutes B) 3 or 4 customers in 10 minutes *Show work in excel
The average weight of a ball of pizza dough produced by the staff of a pizza...
The average weight of a ball of pizza dough produced by the staff of a pizza parlor is 450.5 grams. As part of an attempt to monitor costs for raw ingredients, the owner of the pizza parlor randomly selects and weighs 34 balls of pizza dough. If the standard deviation for the weights of these balls of dough is 28.2 grams, what is the probability that a random sample of 34 balls of dough has a mean weight of more...
Vehicles pass Holborn Station during weekdays at randomly at an average rate of 300 per hour....
Vehicles pass Holborn Station during weekdays at randomly at an average rate of 300 per hour. Give two reasons why we should use a Poisson distribution to describe this process. Find the probability that no vehicle passes in one minute. Find the probability of at least three vehicles pass in ten minutes. What is the expected number of vehicles passing in three minutes? In a 5-minute interval, find the probability that the number of cars passing is within one standard...