A Creole restaurant receives 100 customers a day on average. Assuming that the restauran works from 10:00 am to 8:00 pm, what is the probability that 5 or more clients arrive at that time?
A Creole restaurant receives 100 customers a day on average. Assuming that the restauran works from...
During lunchtime at a certain fast food restaurant, customers arrive at an average rate of 7 customers every 5 minutes. assume a poisson distribution to find the probability that: A) exactly 12 customers arrive in a given 10 minute interval (perform this calculation using an appropriate formula, showing the setup.) b) between 5 and 10 customers (inclusive) arrive in a given 5 minute interval (show how you can answer this from the table) c) after a customer arrives, find the...
WestEast Bank is a busy metropolitan bank open to customers from 9:00 am to 4:00 pm each day. It employs both full-time and part-time tellers. Full-timers work 8 hours/day, from 8:00 am to 5:00 pm, with a 1-hour lunch period beginning at either 11:00 am or 12:00 noon. Part-timers work 4 hours/day with no lunch break. Part-timers report for work at the beginning of the hour for the period they are hired. Full-time tellers earn P1,000 for an 8-hour workday,...
A children's hospital has reported that an average of 6 patients arrive in the emergency room each hour. Arrivals at this emergency room are known to follow a Poisson probability distribution. a.) What is the probability that exactly 10 patients will arrive in the emergency room between 1:00 pm and 2:00 pm today? b.) What is the probability that no more than 3 patients will arrive in the emergency room between 6:30 pm and 7:30 pm today? c.) What is...
A children's hospital has reported that an average of 6 patients arrive in the emergency room each hour. Arrivals at this emergency room are known to follow a Poisson probability distribution. a.) What is the probability that exactly 10 patients will arrive in the emergency room between 1:00 pm and 2:00 pm today? b.) What is the probability that no more than 3 patients will arrive in the emergency room between 6:30 pm and 7:30 pm today? c.) What is...
Jack Williams operates a small mechanics shop in his hometown, Lima, Ohio. He works six days a week, Monday thru Friday, 10:00 AM to 6:00 PM and Saturdays from 9:00 AM to 12:00 PM. On a regular weekday, customers’ arrival time is exponentially distributed with a mean of 45 minutes and service time is also exponentially distributed with a mean of 35 minutes. Simulate Jack Williams’ shop for 100 customer arrivals to estimate Average Time in Line and Average Time...
8. A famous fast-food restaurant is open 24 hours a day. Waiters and busboys report for duty at 3 AM, 7 AM, 11 AM, 3 PM, 7 PM, or 11 PM, and each works an eight-hour shift. The following table illustrates the minimum number of workers needed during the six periods into which the day is divided. The restaurant's scheduling problem is to determine how many waiters and busboys should report for work at the start of each time period...
1. A gas station opens at a time which is Normally distributed with the mean of 8:45 am and standard deviation of 10 minutes; similarly, its closing time is Normally distributed with the mean value at 5:12 pm and standard deviation of 15 minutes. If customers arrive as a Poisson Process with an average rate of 11.3 per hour, find the mean number of customers to be served in one such day, and the corresponding standard deviation. What is the...
A. A bank receives on average 1.038 customers every 10 minutes. What is the probability that the bank receives 1 customers in the next hour? B. A company is running adds on the internet. The probability of a reader of the add clicking on it is 0.81 and the probability that the clicking reader buys the product is 0.45. What is the probability of selling 6 or more products after displaying 10 ads? PLEASE SHOW WORK
Customers arrive at a local ATM at an average rate of 15 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. a) What is the probability that the next customer will arrive within the next 5 minutes? b) What is the probability that the next customer will arrive in more than 8 minutes? c) What is the probability that the next customer will...
A Fast Food drive-through Restaurant with a single check-out counter opens six days a week, but its heaviest day of business is on Saturdays. Customers arrive at an average rate of 20 per hour on Saturdays. Customers can be provided service at the rate of one every two minutes. Assuming Poisson arrivals and exponential service times, find: The average number of customers in line The average time a car waits before being served The average time a customer spends in...