a) In the Polymerase Chain Reaction (PCR) test, among 7,290 suspected people, [tex]\frac{3}{10}[/tex] of them were found to be Corona positive. Find the number of people who are Corona positive.



Answer :

To find the number of people who have tested positive for Corona among the 7,290 suspected individuals using the given proportion [tex]$\frac{3}{10}$[/tex], follow these detailed steps:

1. Identify the total number of suspected people:
The total number of suspected people is given as 7,290.

2. Determine the proportion of people who tested positive:
The proportion of people found to be Corona positive is given as [tex]$\frac{3}{10}$[/tex].

3. Calculate the number of people who have tested positive:
To find the number of Corona positive individuals, multiply the total number of suspected people by the given proportion.

Here is the step-by-step computation:

- First, identify the total number of suspected individuals: 7,290.
- Then, use the given proportion, which is [tex]$\frac{3}{10}$[/tex].

Now, perform the multiplication:
[tex]\[ \text{Number of Corona positive people} = \text{Total number of suspected people} \times \text{Proportion of positive cases} \][/tex]
Substitution into the formula gives:
[tex]\[ \text{Number of Corona positive people} = 7290 \times \frac{3}{10} \][/tex]

4. Perform the multiplication:
[tex]\[ 7290 \times \frac{3}{10} = 7290 \times 0.3 \][/tex]
The result of this multiplication is:
[tex]\[ 2187.0 \][/tex]

Therefore, the number of people who have tested positive for Corona is 2,187.