Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a be...
Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark study, Wendy's average service time of 2.2 minutes was less than those of Burger King, Chick-fil-A, Krystal, McDonald's, Taco Bell, and Taco John's (QSR Magazine website, December 2014). Assume that the service time for Wendy's has an exponential distribution.
a. What is the probability that a service time is less than or equal to one minute (to 4 decimals)?
b. What is the probability that a service time is between 30 seconds and one minute (to 4 decimals)?
c. Suppose a manager of a Wendy's is considering instituting a policy such that if the time it takes to serve you exceeds five minutes, your food is free. What is the probability that you will get your food for free (to 4 decimals)?
Homework Answers
Exponential distribution: It is explains about the time between events or distance between two random events are termed as the exponential distribution. Moreover, the occurrence of the events is continuous and independent. Also, the average rate is constant.
Let X be the continuous random variable with the parameter 
. Then, the probability density function X is,
The expected value of random variable X is given as,
The cumulative distribution function of X is,
Lack on memory property:
The probabilities under different conditions can be obtained using the formula given below:
• Formula for finding the value of 
.
• Formula for finding the value of 
.
(a)
The probability that a service time is less than or equal to one minute is obtained as shown below:
Let the random variable X denotes the service time and it is exponentially distributed with parameter
.
From the information, the average service time is 2.2 minutes. If X follows exponential distribution with parameter 
, then mean is 
.
The parameter is,
The distribution is,
The required probability is,
(b)
The probability that a service time is between 30 seconds and one minute is obtained as shown below:
Let the random variable X denotes the service time and it is exponentially distributed with parameter.
From the information, the average service time is 2.2 minutes. The service time is 30 seconds or 0.5 minutes and 1 minute.
The required probability is,
(c)
The probability if the time to serve exceeds five minutes is,
The probability that a service time is less than or equal to one minute is 0.3653.
Add Answer to:
Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a be...
In a benchmark study, a fast food restaurant had an average service time of 2.6 minutes....
In a benchmark study, a fast food restaurant had an average service time of 2.6 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute? (b) What is the probability that a service time is between 15 seconds and one minute? (c) Suppose the manager of the restaurant is considering instituting...
In a benchmark study, a fast food restaurant had an average service time of 2.8 minutes....
In a benchmark study, a fast food restaurant had an average service time of 2.8 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute? (b) What is the probability that a service time is between 45 seconds and one minute? (c) Suppose the manager of the restaurant is considering instituting...
QSR Magazine studied drive through times for fast-food restaurants and ABC fast-food restaurant’s had the best...
QSR Magazine studied drive through times for fast-food restaurants and ABC fast-food restaurant’s had the best time with a mean time spent in the drive-through of 138.5 seconds. Assuming drive-through times are normally distributed with a standard deviation of 29 seconds, answer the followings, What is the probability that a randomly selected car will get thorough ABC’s drive-through in less than 100 seconds? What is the probability that a randomly selected car will spend more than 160 seconds in ABC’s...
Q8: Terry and Associates conducted a study of service times at the drive-up window of fast-food...
Q8: Terry and Associates conducted a study of service times at the drive-up window of fast-food restaurants. The average service time at Popeye's restaurants was 2.78 minutes. A: What is the probability that a customer's service time is less than 3 minutes? B: What is the probability that a customer's service time is more than 6 minutes? C: What is the probability that a customer's service time is more than 2.78 minutes? Question 8 options: .6601, .1155, .3679 .5130, .1655,...
1. At a fast food restaurant, the waiting time at the drive-through window has an average of...
1. At a fast food restaurant, the waiting time at the drive-through window has an average of 3 minutes, with a standard deviation of 0.8 minutes. i. What is the probability that a random sample of 64 cars will have an average waiting time of less than 3.25 minutes? ii. Did you use the CLT to do this problem? Explain.
The Burger Dome waiting line model studies the waiting time of customers at its fast-food restaurant....
The Burger Dome waiting line model studies the waiting time of customers at its fast-food restaurant. Burger Dome's single-server waiting line system has an arrival rate of 0.75 customers per minute and a service rate of 1 customer per minute. Adapt the Black Sheep Scarves spreadsheet shown below to simulate the operation of this waiting line. Make sure to use the random values for both interarrival and service times generated in the worksheet_12-23. Assuming that customer arrivals follow a Poisson...
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 5.5 minutes. (a) Find the probability that a customer has to wait more than nine minutes....
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 5.5 minutes. (a) Find the probability that a customer has to wait more than nine minutes. (Round your answer to three decimal places.) (b) Find the probability that a customer is served within the first five minutes. (Round your answer to three decimal places.) (c) The manager wants to advertise that anybody who isn't served within a certain number of minutes gets...
Marketing Plan: Product Identification and SWOT Analysis What needs to be done. The focus of your...
Marketing Plan: Product Identification and SWOT
Analysis
What needs to be done. The focus of your marketing plan can be a
new product/service idea of your own or an existing product/
service.
I have chosen to do a marketing product and SWOT analysis for the
company Walmart.
Here is an example but in of McDonald's I'm doing the company
WALMART
About WALMART should contain paragraphs that cover
like the example pictures above. Should include
The SWOT analysis that I'm doing...
need help with 18-22 marketing questions med with francesca Je on the COUCO col grocery This...
need help with 18-22 marketing questions
med with francesca Je on the COUCO col grocery This Me span and no CHAPTER 35 Maring Crowng Customer and Engagement Company Caso Chick-Fil-A: Getting Better before Getting Bigger dong the food . Wh e n It Right way, Burger King and Taco Berge mong top of the C hos en bom a south Asocer lo Check Asminis to have a povinu once on who come in contact with Chick corted Chick SA Athough...
5. The servicing time at the drive-through lane of a fast food restaurant follows an exponential distribution. The average servicing time is 2 minutes. (4 points) YORKVILLE BUSI 1013 statistics...
5. The servicing time at the drive-through lane of a fast food restaurant follows an exponential distribution. The average servicing time is 2 minutes. (4 points) YORKVILLE BUSI 1013 statistics for Business What is the probability that it takes more than 2.5 minutes to service a customer at the drive-through lane? b. a. What percent of customers at the drive-through lane will take between 1 to 3 minutes to service? Part B 1. A simple random sample of 50 customers...
The Burger Dome waiting line model studies the waiting time of customers at its fast-food restaurant. Burger Dome's single-server waiting line system has an arrival rate of 0.75 customers per minute and a service rate of 1 customer per minute. Adapt the Black Sheep Scarves spreadsheet shown below to simulate the operation of this waiting line. Make sure to use the random values for both interarrival and service times generated in the worksheet_12-23. Assuming that customer arrivals follow a Poisson...
Marketing Plan: Product Identification and SWOT
Analysis
What needs to be done. The focus of your marketing plan can be a
new product/service idea of your own or an existing product/
service.
I have chosen to do a marketing product and SWOT analysis for the
company Walmart.
Here is an example but in of McDonald's I'm doing the company
WALMART
About WALMART should contain paragraphs that cover
like the example pictures above. Should include
The SWOT analysis that I'm doing...
need help with 18-22 marketing questions
med with francesca Je on the COUCO col grocery This Me span and no CHAPTER 35 Maring Crowng Customer and Engagement Company Caso Chick-Fil-A: Getting Better before Getting Bigger dong the food . Wh e n It Right way, Burger King and Taco Berge mong top of the C hos en bom a south Asocer lo Check Asminis to have a povinu once on who come in contact with Chick corted Chick SA Athough...
5. The servicing time at the drive-through lane of a fast food restaurant follows an exponential distribution. The average servicing time is 2 minutes. (4 points) YORKVILLE BUSI 1013 statistics for Business What is the probability that it takes more than 2.5 minutes to service a customer at the drive-through lane? b. a. What percent of customers at the drive-through lane will take between 1 to 3 minutes to service? Part B 1. A simple random sample of 50 customers...
Most questions answered within 3 hours.
-
Assume Kw = 1.01 ✕ 10−14
For pure water, we can calculate [H3O+ ] = [OH...
asked 43 minutes ago -
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 1 hour ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 2 hours ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 3 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 3 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 4 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 6 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 6 hours ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 6 hours ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 6 hours ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 6 hours ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 6 hours ago