Sparagowski & Associates conducted a study of service times at the drive-up window of fast-food restaurants....

Sparagowski & Associates conducted a study of service times at the drive-up window of fast-food restaurants. The average time between placing an order and receiving the order at McDonald's restaurants was 2.78 minutes (The Cincinnati Enquirer, July 9, 2000). Waiting times, such as these, frequently follow an exponential distribution.

1. What is the probability that a customer's service time is less than 2 minutes?

2. What is the probability that a customer's service time is more than 5 minutes?

3. What is the probability that a customer's service time is more than 2.78 minutes?

4.What is the probability that a customer's service time is less than 30 seconds?

5. What is the probability that a customer's service time is exactly 45 seconds?

6. What is the probability that a customer's service time is more than 42 seconds?

Expert Solution

orchestra answered 2 years ago

Fast food franchises considering a drive up window food service operation. assume that cars arrive at...

Fast food franchises considering a drive up window food service operation. assume that cars arrive at the service following a position distribution at a rate of 24 customers per hour. assume that the service distribution is exponential arriving customers place orders on an intercom station at the back of the parking lot and then drive to the service window to pick up their orders and pay for the service. the situation can be implemented using a single server operation for...

a trade magazine routinely checks the drive through service times of fast food restaurants. a 95%...

a trade magazine routinely checks the drive through service times of fast food restaurants. a 95% confidence interval that results from examining 605 customers in one fast food chains drive through has a lower bound of 170.1 seconds and upper bound of 173.1 seconds. what does this mean?

Customers arrive at the drive-up window of a fast-food restaurant at a rate of 2 per...

Customers arrive at the drive-up window of a fast-food restaurant at a rate of 2 per minute during the lunch hour What is the probability that the next customer will arrive within 1 minute? What is the probability that the next customer will arrive after 0.5 minutes? What is the probability that the next customer will arrive between 45 seconds and 1.5 minutes?

Customers arrive at a drive-up window of a fast-food restaurant at a rate of 3 per...

Customers arrive at a drive-up window of a fast-food restaurant at a rate of 3 per minute during lunch hour. a. What is the probability that the next customer will arrive within 1 minute? b. What is the probability that the next customer will arrive within 3 minutes? c. During the dinner time period, the arrival rate is 2 per minute. What are your answers to a and b for this period? Round to four decimal places as needed.

Customers arrive at a drive-up window of a fast-food restaurant at a rate of 2 per...

Customers arrive at a drive-up window of a fast-food restaurant at a rate of 2 per minute during lunch hour. a. What is the probability that the next customer will arrive within 2 minutes? b. What is the probability that the next customer will arrive within 3 minutes? c. During the dinner time period, the arrival rate is 1 per minute. What are your answers to a and b for this period?

The accompanying data are drive-through service times (seconds) recorded at a fast-food restaurant during dinner times....

The accompanying data are drive-through service times (seconds) recorded at a fast-food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviation σ = 61.4sec, use a 0.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. Use the accompanying data to identify the null hypothesis, alternative hypothesis, test statistic, and P-value. Then state a conclusion about the null hypothesis....

The accompanying data are drive-through service times(seconds) recorded at a fast-food restaurant during dinner times. Assuming...

The accompanying data are drive-through service times(seconds) recorded at a fast-food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviation σ = 61.4sec, use a 0.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. Use the accompanying data to identify the null hypothesis, alternative hypothesis, test statistic, and P-value. Then state a conclusion about the null hypothesis. Need...

The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner...

The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at therestaurant's competitor have standard deviation σ=58.8 sec, use a 0.025 significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. 192 160 138 81 159 199 151 113 189 161 176 195 295 165 263 161 233 158 107 195 146 333 218 235...

Many fast-food restaurants use automatic soft-drink dispensing machines that fill cups once an order is placed at a drive-through window.

Many fast-food restaurants use automatic soft-drink dispensing machines that fill cups once an order is placed at a drive-through window. A regional manager for a fast-food chain wants to determine if the machines in her region are dispensing the same amount of product. She samples four different machines and measures a random sample of 16-ounce drinks from each machine. Here is the data she collects (in ounces): Machine 1 Machine 2 Machine 3 Machine 4 16.5 15.0 16.0 16.6 16.6...

A study of fast-food intake is described the the paper "What People Buy From Fast-Food Restaurants"...

A study of fast-food intake is described the the paper "What People Buy From Fast-Food Restaurants" (Obesity, 2009, pages 1369-1374). Adult customers at three hamburger chains (McDonald's, Burger King and Wendy's) in New York City were approached as they entered the restaurant at lunchtime and asked to provide their receipt when exiting. The receipts were then used to determine what was purchased and the number of calories consumed was determined. In all, 3857 people participated in the study. The sample...

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