In England, the most serious emergency calls requesting an ambulanceare classified as 'Red 1'. According to data from NHS England, inMarch 2017, the London Ambulance Service (LAS) received a total of1597 Red 1 emergency calls. Based on this number and adjusting forvariations during the day, suppose that Red 1 calls arriving at the LASin daylight hours may be modelled as a Poisson process with rate 3 perhour.(i1 (2) Calculate and report the probability that three Red 1 callsarrive at the LAS in 30 minutes during daylight hours.(ii) (1) Write down the distribution of the waiting time (in hours)between the arrivals of two successive Red 1 calls at the LASduring daylight hours, including the values ofanyparameters.(2) Calculate and report the probability that the gap between thearrivals of two successive Red 1 calls at the LAS duringdaylight hours will exceed 20 minutes.

Answered: Image /qna-images/answer/b7f346da-3266-4a1a-8056-2d3ec795db7a.jpg

Answered: In England, the most serious emergency…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a large city, researchers selected a random sample of 120 individuals who have multiple televisions in their house connected to a streaming device. Each individual was asked how many hours of streaming content they watch in a typical week. The sample had a mean of 12.5 hours. For which of the following populations is 12.5 hours a reasonable estimate of the mean hours of weekly streaming content watched? (A) All individuals who regularly watch streaming content (B) All individuals from this city who regularly watch streaming content (C) All individuals from this city with multiple streaming devices in their house (D) All individuals from this city with multiple streaming devices in their house who regularly watch streaming content (E) All 120 individuals in this city with multiple streaming devices in their home who regularly watch streaming content
Ques15. Agan Interior Design provides home and office decorating assistance to its customers. In usualoperations, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer.Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times.Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is that goal being met? If not, what action do you recommend?If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? Will the service goal be met?
An investigator analyzed the leading digits from 794 checks issued by seven suspect companies. The frequencies were found to be 218, 130, 106, 83, 65, 48, 48, 37, and 59, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.025 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading_Digit Actual_Frequency Benford's_Law:1) 218 30.10%2 )130 17.60%3) 106 12.50%4) 83 9.70%5) 65 7.90%6) 48 6.70%7) 48 5.80%8) 37 5.10%9) 59 4.60% Calculate the test statistic, χ2 =? (Round to three decimal places as needed.) Calculate the P-value=? (Round to four decimal places as needed.)
were Classified 2. Pg, 36-7, 1.4.33. At the beginning of a Study individuals, 3% were Classified as heavy Smokers, 25.1. Smokers, and 72% were classified as as light In the 5 year study, it was determined. that the death rates of the heavy and light Smokers were 6 and 3 times that of non smokers. non- of Smokers, respectively. A randomly selected Participant died over the Syear period: Calculate the probability that the participant а nonsmorcer? was
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The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine data from 8.3 million expense reports to provide insights regarding business travel expenses. Their analysis of the data showed that New York was the most expensive city. The following table shows the average daily hotel room rate (X) and the average amount spent on entertainment (Y) for a random sample of 9 of the 25 most-visited U.S. cities. These data lead to the estimated regression equation y = 17.49 + 1.0334x. For these data SSE = 1541.4. Use Table 1 of Appendix B. a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals). b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals). c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).
Question 4 Multi-Server QueueA supermarket manager is trying to decide how many cashers to employ for the peak time. The service times for check outs are exponentially distributed with a mean service time of 3 minutes. Customer arrivals to cashiers follow a Poisson arrival process with an average 110 customers per hour.a. What is the minimum number of cashers that would be needed to have the utilization less than one?b. If the waiting time is too long, customers might leave the store or even do not enter the store. It is estimated that for every minute of waiting time, the supermarket loses a potential profit of 50 HKD every hour from lost sales. The hourly wage for a casher is 80 HKD / hour. How many cashers should the supermarket employ to maximize its profit? (Keep four decimal places.

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