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At a local community the department of health has the following table reporting

ID: 2906699 • Letter: A

Question

At a local community the department of health has the following table reporting the number of people with or without symptoms, and those tested positive or negative of having an infectious disease. For some reasons some numbers were erased. Every member of the community has been tested.

Symptoms

No Symptoms

Total

Positive

   450

   

650

Negative

  

    1250

Total

   550

   

2000

Complete the table above.

Given that an individual is tested negative what is the probability that this individual has the disease (has symptoms)?

At a public school it is reported that 64% of students own a personal computer. 3 Students are randomly selected.

What is the probability that all of them has a personal computer?

What is the probability that at least one of them does not have a personal computer?

Symptoms

No Symptoms

Total

Positive

   450

   

650

Negative

  

    1250

Total

   550

   

2000

Explanation / Answer

Ans:

a)

P(symptoms/negative)=P(symptoms and negative)/P(negative)

=100/1350

=0.0741

2)Given that

n=3,p=0.64

a)P(all of them have personal computer)=P(x=3)=0.64^3=0.2621

b)P(atleast one does not have personal computer)=1-P(all of them have personal computer)

=1-0.2621=0.7379

Symptoms No symptoms Total Positive    450 200 650 Negative 100     1250 1350 Total    550 1450 2000
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