On a random cross medical checkup in Muscat airport, the statisic shows 45% of the travelers are form region A 35% are form region B, and 20% are form region C. The Medicine doctors have found that 6% of the travelers form region A 7% of the tavelers form region B, and 5% of the travelers form region C are infected by COVID-19 One week later, an infected traveler went for recheck up. Find the probability helshe region A? For the toolbar, press ALT+F10 (PC) or ALTFN+F10 (Mac)

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QUESTION 7
On a random cross medical checkup in Muscat airport, the statistic shows 45% of the travelers are form region A, 35% are form region
B, and 20% are form region C. The Medicine doctors have found that 6% of the travelers form region A, 7% of the travelers form region
B, and 5% of the travelers form region C are infected by COVID-19 One week later, an infected traveler went for recheck-up. Find the
probability helshe region A?
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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Transcribed Image Text:Path ps img.Wsomula QUESTION 7 On a random cross medical checkup in Muscat airport, the statistic shows 45% of the travelers are form region A, 35% are form region B, and 20% are form region C. The Medicine doctors have found that 6% of the travelers form region A, 7% of the travelers form region B, and 5% of the travelers form region C are infected by COVID-19 One week later, an infected traveler went for recheck-up. Find the probability helshe region A? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). T TTT Paragraph v Arnal vE- E - T 回i%会 T T,e O S. OMashups - 1 « O e 囲 陶 盟 重 Words 0 Path Click Save and Submit to save and submit. Click Save All Answers to save al aswers. Save A
Expert Solution
Step 1

Based on the provided information, the known values are;

PRegion A=0.45;PRegion B=0.35;PRegion C=0.20PInfected|Region A=0.06;PInfected|Region B=0.07;PInfected|Region C=0.05

Bayes’ rule:

If A1,A2,...,Ak are k mutually exclusive and exhaustive events, such that the sum of the probability values of the events is 1 and there is an observed event B, then,

P(Aj|B)=P(AjB)P(B)=P(Aj)P(B|Aj)P(A1)P(B|A1)+PA2P(B|A2)+...+P(Ak)P(B|Ak)

Here, j=1,...,k.

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