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 on average, 5 people come to have a test each hour. The testing center is open from 9am to 5pm, each test takes 5 mins. Assume the center can test only one person each time, and people come to the center 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 less than 10 mins in line?
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 on average, 5 people come to have a test each hour. The testing center is open from 9am to 5pm, each test takes 5 mins. Assume the center can test only one person each time, and people come to the center 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 less than 10 mins in line?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Transcribed Image Text: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 on
average, 5 people come to have a test each hour. The testing center is open from 9am to 5pm, each
test takes 5 mins. Assume the center can test only one person each time, and people come to the
center 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 less
than 10 mins in line?
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