Suppose that in order to save money, the Golden Eagles Nest dining area isconsidering limiting the number of cashiers to one even during peak hours, butbefore making that decision, wants to know how much congestion the reduction incashiers would cause. Suppose that the average transaction takes thirty (30)seconds, so the cashier can handle at most two (2) customers per minute. Supposethat during peak hours, an average of 3.0 students visit the dining area per minute;what is the standard deviation of the distribution? Round your answer to twodecimal places.

We have given that X ~ Poisson (λ) λ = 3

Answered: Suppose that in order to save money,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You're a construction engineer and one of your responsibilities is to estimate and schedule construction workers to complete projects. You've been given the job to frame a house and you know that 20 workers can complete the job in 12 days if the number of working hours per day is 8. However, you only have a construction crew of 17 workers and your contract requires that you complete the framing in 8 days. If the job is to be completed in 8 days with 17 workers, what will be the working hours per day? Round your answer to the nearest tenth of an hour.
Assume you are leading an initiative to improve infrastructure. Every year, 20% of roads in good conditions deteriorate into bad conditions, while current spending fixes 30% of roads in bad condition, turning them to a good condition. In the long run how many roads will be in good condition?
You may need to use the appropriate appendix table to answer this question. Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In 2018, the Amazon Alexa app was downloaded some 2,800 times per day from the Google Play store.† Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2,800 and standard deviation of 860. (a) What is the probability there are 1,900 or fewer downloads of Amazon Alexa in a day? (Round your answer to four decimal places.) (b) What is the probability there are between 1,600 and 2,400 downloads of Amazon Alexa in a day? (Round your answer to four decimal places.) (c) What is the probability there are more than 2,900 downloads of Amazon Alexa in a day? (Round…
A low resting heart rate can mean a high degree of physical fitness, which is associated with reducedrates of cardiac events like heart attacks. By working out regularly in the gym, the heart becomes moreefficient, pumping the lowest amount of blood one needs when in a relaxed state. Normal resting heartrate for adults ranges from 60 to 100 beats per minute but a well-trained athlete can have a normal restingheart rate as low as 40 beats per minute. Dr. Castillejo wants to know if her gym members have attainedthis average resting heart rate of athletes. Use the R commander output below to address Dr. Castillejo’sconcern . Write a brief report about the analysis by identifying the set of hypotheses to be tested, theappropriate test to use, and implications and recommendations of/from the conclusions.
Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration desk before going to one of three cashiers to pay a fee for the ID card. After that, he/she will visit one of four ID processing stations to have his/her picture taken and ID card printed. Visits to the cashier and ID processing station take 10 and 20 minutes respectively. If the demand rate is 0.5 student per minute, the cycle time of the process is type your answer. minute per student (rounded to Nearest 10th); and bottleneck in the process is TD. Peo choose your answer. use Excel
if in a 2 party race, party 1 is leading in the age category 45 years and under by 10% and that category represents 60% of the electorate and party #2 is leading in the over 45 years by 10% and that category represents 40% of the electorate. Show in percentage the deficit that party 2 needs to make up.
Intensive care units (ICUS) generally treat the sickest patients in a hospital. ICUS are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUS as efficiently as possible in a hospital. Suppose that a large-scale study of elderly ICU patients shows that the average length of stay in the ICU is 3.2 days. Assume that this length of stay in the ICU has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that the length of stay in the ICU is one day or less? (b) What is the probability that the length of stay in the ICU is between two and three days? (c) What is the probability that the length of stay in the ICU is more than five days?
A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
You are the VP, Advertising for “Yo’ Mama” brand, a fashion label that caters to the young, trendy crowd with an urban, hip-hop image. While your customer base has traditionally been largely African-American, you have recognized a tremendous influx of Hispanic consumers into your market. You are preparing for next week’s annual budget meetings and you have decided to recommend an Hispanic-focused advertising campaign if the average monthly per store sales to Hispanic customers are at least the same as the average monthly per store sales to African-American customers in a sample of typical stores (sales data given below). Using an alpha of .05 and the 5-step hypothesis testing process, what will you recommend? Hint: Think about how many data points you actually have.
The number of collection vehicles a community would need for solid waste collection in a certain municipality is 6 trucks. Find a total number of services (customers) that are to be collected once per week during 4 working days. (Realistically, most trucks can service only about 200 to 300 customers before the truck is full and a trip to the landfill is necessary).
Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.
The past records of a supermarket show that its customers spend an average of $110 per visit at this store. Recently the management of the store initiated a promotional campaign according to which each customer receives points based on the total money spent at the store, and these points can be used to buy products at the store. The management expects that as a result of this campaign, the customers should be encouraged to spend more money at the store. To check whether this is true, the manager of the store took a sample of 14 customers who visited the store. The following data give the money (in dollars) spent by these customers at this supermarket during their visits. 106.13 107.43 124.68 124.88 101.17 72.75 85.45 86.05 100.4 98.84 101.63 95.56 89.40 119.52 Assume that the money spent by all customers at this supermarket has a normal distribution. Using a 2.5% significance level, can you conclude that the mean amount of money spent by all customers at this supermarket after the…

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