medical tests. Task Compute the requested probabilities using the contingency table. A group of 7500 individuals take part in a survey about a rare disease and medical test. The data for the group is given in the table below. A person listed as "Sick" has the disease, while someone listed as "Not Sick does not "Tested Positive means the test indicated the person was sick, and "Tested Negative" means the test indicated they were not sick. The test is believed to be around 99% accurate. Sick Not Sick Tested Positive 59 75 Tested Negative 1 7365 h One person at random is chosen from the group (3 pts) Find the probability the person is sick. b. (3 pts) Find the probability the test is positive given that the person is sick (3 pts) Find the probability the test is negative given that the person is not sick. d. (pts) Find the probability the person is sick given that the test is positive (3 pts) Find the probability the person is not sick given that the test is negative. f. (5 pts) When we say a test is 99% accurate, to what is that referring? Given vour calculations, should information other than a single test be considered when diagnosing a rare condition? If so, what other information might be considered? Criteria for Success​

Probabilities are used to determine the chances of an event

(a) Probability that a person is sick

From the table, we have:

[tex]\mathbf{Sick = 59+1 = 60}[/tex]

So, the probability that a person is sick is:

[tex]\mathbf{Pr = \frac{Sick}{Total}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{60}{7500}}[/tex]

[tex]\mathbf{Pr = 0.008}[/tex]

The probability that a person is sick is: 0.008

(b) Probability that a test is positive, given that the person is sick

From the table, we have:

[tex]\mathbf{Positive\ and\ Sick=59}[/tex]

So, the probability that a test is positive, given that the person is sick is:

[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{59}{60}}[/tex]

[tex]\mathbf{Pr = 0.9833}[/tex]

The probability that a test is positive, given that the person is sick is 0.9833

(c) Probability that a test is negative, given that the person is not sick

From the table, we have:

[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]

[tex]\mathbf{Not\ Sick = 75 + 7365 = 7440}[/tex]

So, the probability that a test is negative, given that the person is not sick is:

[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7365}{7440}}[/tex]

[tex]\mathbf{Pr = 0.9899}[/tex]

The probability that a test is negative, given that the person is not sick is: 0.9899

(d) Probability that a person is sick, given that the test is positive

From the table, we have:

[tex]\mathbf{Positive\ and\ Sick=59}[/tex]

[tex]\mathbf{Positive=59 + 75 = 134}[/tex]

So, the probability that a person is sick, given that the test is positive is:

[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{59}{134}}[/tex]

[tex]\mathbf{Pr = 0.4403}[/tex]

The probability that a person is sick, given that the test is positive is: 0.4403

(e) Probability that a person is not sick, given that the test is negative

From the table, we have:

[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]

[tex]\mathbf{Negative = 1+ 7365 = 7366}[/tex]

So, the probability that a person is not sick, given that the test is negative is:

[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7365}{7366}}[/tex]

[tex]\mathbf{Pr = 0.9998}[/tex]

The probability that a person is not sick, given that the test is negative is: 0.9998

(f) When a test is 99% accurate

The accuracy of test is the measure of its sensitivity, prevalence and specificity.

So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.

Read more about probabilities at:

https://brainly.com/question/11234923

which transformation would result in a geometric figure

Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)

Count the number of ways in which four 8's can be chosen.

Use the Venn diagram to determine which sets each number belongs to.
a. 18
b. -17
c. -23
d. ⅜

Anyone know how I can solve RL from this equation, because I have been trying and I can't get the result[tex]10=-2,5+\frac{0.02*RL+2,5}{625} (625+500)[/tex]
* this sign is to multiply
expected result is = 222.2

Let A and B be two disjoint events such that P(A) = 0.47 and P(B) = 0.3.

What is P(A or B)?

Which is longer
1m 200 cm 3ft 700mm 1 yard

Please help fast!! Quarter ends tonight!

Brainlisted for right answer!!! 25 points!!! Please help me!!! I really need this done!!!

Find the slope of the line graphed below.

Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?

What is the answer for this question?

Simplify completely: - 30+ (5) – (s) Pay attention to
the negatives!

Hi, what is this number in expanded form, please let me know?

In the figure shown, help

Apply the distributive property to factor out the greatest common factor 21+25

may give brainliest
please answer

Jdjsjdjdnndnxnxnxnxjxnnxnxnxnxncncncnxnxnnxnxnxncnccncnncncncncjcjdnx.

25.638= Twenty five and six hundred thirty eight how would this be written out And how to find this Question to the answer ​

Alex bought 5 yards of fabric to make pillows. What is the length of the fabric in inches?
1 foot = 12 inches
1 yard = 3 feet
1 mile = 5,280 feet
1 mile = 1,760 yards

what's 5.1 x 10^0 in standard notation? plz I meed it for my math class ​

What is 300251 rounded to the nearest Highest Place

Which of the following equations represents an ellipse having vertices
located at (2,9) and (2,-5) and foci located at (2,5) and (2,-1)?

Please someone help me.. ASAP ​

what is a rapid loan?

i dont understand if anybody can help me i would be happy​

prove that the sum of any 5 consecutive natural numbers is divisible by 5​

How long should an escalator be if it is to make an angle 30 with the floor and

Janet hiked 3/8 mile in 1/4 hour how fast did she hike in miels per hour

Please help!!

2y = -1 + 9
3х — бу :
-15
M

Write the equation for the function graphed below.

After 5 years, Ben’s income has undergone several increases. Last month, Ben put $600 in savings, which was 10% of his net income. What is Ben’s new monthly net income?