Question 5

In the recent COVID-19 outbreak, 58% of the suspected cases who goes for screening test get positive result. It is known that 28% of the confirmed positive cases has history of traveling to the country with outbreak, 50% has close contact with confirmed positive person and another 22% is from unknown cluster.

a) Represent the probability of the COVID-19 outbreak described above using tree diagram.
You can see examples of tree diagram in https://www.mathsisfun.com/data/probability-tree-diagrams.html

b) What is the probability of suspected cases with negative screening test result?

c) If a total of 72 person-under-investigation (PUI) was suspected to be exposed to this virus and are required to take swab test. How many people will get negative result? 

d) Find the probability of positive cases having travelling history to the country with outbreak or close contact with person infected?

e) Death rate of this pandemic is 1.6% while the recovery rate is 34%. If the total infected person is 2766 people,

i. What is the probability of infected person under treatment?
ii. How many are under treatment?