Untitled Notebook (5) v{TIn 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.(i) (1) Write down the distribution of the number of Red 1 callsarriving at the LAS in a 30-minute period during daylighthours, including the values of any parameters.(2) Calculate and report the probability that three Red 1 callsarrive at the LAS in 30 minutes during daylight hours.(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 of anyparameters.(ii)(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/0c847338-cc00-43c8-94cb-6e484abe7279.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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Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of x , the mean water loss of the 34 lizards
A study is conducted to investigate the association between income level and political party affiliation in the USA. Income level has 5 levels: Lowest (lowest 20-th percentile), low, middle, high, and very high (top 20-th percentile). Political party has 3 categories: Democratic (D), Independent (I), and Republican (R). A baseline category logit multinomial is fit on the 3 response categories using covariate of income level as ordinal (with scores 1, 2, 3, 4, and 5 for the categories lowest, low, middle, high and very high respectively). Base category of response is Independent. The fitted model is log(ˆπD/πˆI ) = 3.3 − 0.2x and log(ˆπR/πˆI ) = 1.0 + 0.3x, where x=1,2,3,4,5 (poverty levels as numeric/ordinal), πD is the probability of being Democrat, πI is the probability of being Independent, and πR is the probability of being Republican. a. Comparing the chances/probability of being Republican to Independent, interpret the effect of income level increases on the odds (of being…
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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?
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In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 40 out of 866 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish. (a) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief explanation of the meaning of the interval. We are 99% confident that the true catch-and-release mortality rate falls outside this interval.We are 1% confident that the true catch-and-release mortality rate falls above this interval. We are 99% confident that the true catch-and-release mortality rate falls within this interval.We are 1% confident that the true catch-and-release mortality rate falls…
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Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram b) What is the probability that x is less than 2.7 grams?

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