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5:14 124 [MAT-143-431A 2025S... Homework - Medical Testing Score: 2.25/10 Answered: 2/10 Progress saved Done \( \sqrt{0} \bigcirc: \) Question 8 1 pt 1 99 Details A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive \( 80 \% \) of the time if the person has the virus and \( 8 \% \) of the time if the person does not have the virus. (This \( 8 \% \) result is called a false positive.) Let V be the event "the person is infected" and + be the event "the person tests positive". a) Find the probability that a person has the virus given that they have tested positive: find \( P(V \mid+) \). Round your answer to 2 decimal places. \[ \mathrm{P}(\mathrm{~V} \mid+)= \] \( \square \) b) Find the probability that a person does not have the virus given that they test negative: find \( P\left(V^{\prime} \mid-\right) \). Round your answer to 2 decimal places. \[ P\left(V^{\prime} \mid-\right)= \] \( \square \) Question Help: \( \square \) Video ? Read Stream Courses Calendar More

          5:14
124
[MAT-143-431A 2025S...

Homework - Medical Testing
Score: 2.25/10
Answered: 2/10
Progress saved
Done
\( \sqrt{0} \bigcirc: \)

Question 8
1 pt
1
99
Details

A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive \( 80 \% \) of the time if the person has the virus and \( 8 \% \) of the time if the person does not have the virus. (This \( 8 \% \) result is called a false positive.) Let V be the event "the person is infected" and + be the event "the person tests positive".
a) Find the probability that a person has the virus given that they have tested positive:
find \( P(V \mid+) \).
Round your answer to 2 decimal places.
\[
\mathrm{P}(\mathrm{~V} \mid+)=
\]
\( \square \)
b) Find the probability that a person does not have the virus given that they test negative:
find \( P\left(V^{\prime} \mid-\right) \).
Round your answer to 2 decimal places.
\[
P\left(V^{\prime} \mid-\right)=
\]
\( \square \)

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5:14
124
[MAT-143-431A 2025S...

Homework - Medical Testing
Score: 2.25/10
Answered: 2/10
Progress saved
Done
√(0)◯:

Question 8
1 pt
1
99
Details

A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive 80 % of the time if the person has the virus and 8 % of the time if the person does not have the virus. (This 8 % result is called a false positive.) Let V be the event "the person is infected" and + be the event "the person tests positive".
a) Find the probability that a person has the virus given that they have tested positive:
find P(V |+).
Round your answer to 2 decimal places.

P( V|+)=

□
b) Find the probability that a person does not have the virus given that they test negative:
find P(V^'|-).
Round your answer to 2 decimal places.

P(V^'|-)=

□

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