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The incubation period for COVID-19, which is the time between exposure to the virus (becoming infected) and symptom onset, is on average 5-6 days. However, it can be up to 14 days. During this period, also known as the “pre-symptomatic” period, some infected persons can be contagious. Therefore, transmission from a pre-symptomatic case can occur before symptom onset. A sample of 11 COVID-19 patients had the following incubation periods (days): 5, 13, 9, 7, 11, 9, 6, 11, 8, 5, 12 REQUIRED: Calculate the mean and standard deviation. Interpret your answers. Calculate the coefficient of variation and interpret your answer. A certain medical test is known to detect 75% of the people who are infected with corona-virus disease. If 8 people with the disease are administered the test, what is the probability that the test will show that at least 8 people have the disease?

The incubation period for COVID-19, which is the time between exposure to the virus (becoming infected) and symptom onset, is on average 5-6 days. However, it can be up to 14 days. During this period, also known as the “pre-symptomatic” period, some infected persons can be contagious. Therefore, transmission from a pre-symptomatic case can occur before symptom onset. A sample of 11 COVID-19 patients had the following incubation periods (days): 5, 13, 9, 7, 11, 9, 6, 11, 8, 5, 12 REQUIRED: Calculate the mean and standard deviation. Interpret your answers. Calculate the coefficient of variation and interpret your answer. A certain medical test is known to detect 75% of the people who are infected with corona-virus disease. If 8 people with the disease are administered the test, what is the probability that the test will show that at least 8 people have the disease?

MATLAB: An Introduction with Applications
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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  1. The incubation period for COVID-19, which is the time between exposure to the virus (becoming infected) and symptom onset, is on average 5-6 days. However, it can be up to 14 days. During this period, also known as the “pre-symptomatic” period, some infected persons can be contagious. Therefore, transmission from a pre-symptomatic case can occur before symptom onset.

 

A sample of 11 COVID-19 patients had the following incubation periods (days):

5,          13,        9,          7,          11,        9,          6,          11,        8,          5,          12

 

REQUIRED:

  1. Calculate the mean and standard deviation. Interpret your answers.
  2. Calculate the coefficient of variation and interpret your answer.                                                                       
  3. A certain medical test is known to detect 75% of the people who are infected with corona-virus disease. If 8 people with the disease are administered the test, what is the probability that the test will show that at least 8 people have the disease?  
Expert Solution
Step 1

I solve this question using r-software.

And in part (3) we can use binomial distribution to find required probability, where the binomial parameters are n = 8 and p = 0.75 .

 

R-code:-

x <- c(5,13,9,7,11,9,6,11,8,5,12)
mean(x)
sd(x)
cv <- (sd(x)/mean(x))*100
print(cv)
dbinom(8,size=8,prob=0.75)

 

R-output:-

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