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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Subject : probability
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