Problem 1: A Covid-19 testing center offers daily walk-in PCR and antibody testing service.According to the past-year survey, arrivals to the testing center follow a Poisson process, and onaverage, 5 people come to have a test each hour. The testing center is open from 9am to 5pm, eachtest takes 5 mins. Assume the center can test only one person each time, and people come to thecenter after 9am. People line up for testing and leave the center once finishing their tests.a) Find the probability that in an hour nobody comes to the testing center.b) Find the expected number of people the testing center receives every day.c) David comes to the testing center at 9:10 am, what's the probability that he will wait lessthan 10 mins in line?

Given, that arrival rate of people at the centre is λ=5/hour and follows Poisson distribution, and…

Answered: Problem 1: A Covid-19 testing center…

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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A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 3232 4545 2121 5050 3636 4444 2626 2020…
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A Doctor is interested in the proportion of Lyon county residents who were infected with covid-19 virus. There were 425 covid-19 cases reported among 25474 residents in Lyon county a.What is the experimental unit in this experiment? b.What is the population in this experiment? c. What is a parameters considered in this experiment? d. What is a statistics in this experiment? e. What variables should pollster collect in this experiment?
(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 3030 3939 5353 3838 3333 5151 2222 3838…

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