A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of 1,000 adults and finds (by other means) that 2% have this type of cancer. Each of the 1,000 adults is given the test, and it is found that the test indicates cancer in 98% of those who have it and in 1% of those who do not. Based on these results, what is the probability of a randomly chosen person not having cancer given that the test indicates cancer

Answers

Answer 1

Answer:

0.3333 = 33.33% probability of a randomly chosen person not having cancer given that the test indicates cancer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test indicates cancer.

Event B: Person does not have cancer.

Probability of a test indicating cancer.

98% of 2%(those who have).

1% of 100 - 2 = 98%(those who do not have). So

[tex]P(A) = 0.98*0.02 + 0.01*0.98 = 0.0294[/tex]

Probability of a test indicating cancer and person not having.

1% of 98%. So

[tex]P(A \cap B) = 0.01*0.98 = 0.0098[/tex]

What is the probability of a randomly chosen person not having cancer given that the test indicates cancer?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0098}{0.0294} = 0.3333[/tex]

0.3333 = 33.33% probability of a randomly chosen person not having cancer given that the test indicates cancer


Related Questions

HELP ASAP!! jjwjwhwjabagajsbs

Answers

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

HELLO!! :) CAN U PLEASE HELP ME WITH THIS PROBLEM? I WILL GIVE YOU BRAINLIEST AND A THANKS!! THANK YOU FOR TRYING !! ..

Answers

Answer:

21 units

Step-by-step explanation:

pls mark brainliest i have needed it forever

A 4-foot-long sandwich is cut into servings that are each foot long. How many servings will there be after the sandwich is cut? 1) 12 1) 3 1 12 15)​

Answers

Answer: 12

Step-by-step explanation:

Answer:

total size of sandwich= L = 4ft

one serving = 1/3 of sandwich

So,

total no. of servings= 4/0.333 =12

Step-by-step explanation:

Complete the table.
table
Distances:
a =
b =
c =

Heights:
d =
e =
f =

Answers

Answer:

Distances:

A=1/2

B= 1

C= 3/2

Heights:

D= 1

E= 0

F= -1

Step-by-step explanation:

The distances asked in the circle are a = 1 / 2 π, b = 1π, and c = 3 / 2 π.

What is distance?

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

The complete movement of an object, regardless of direction, is referred to as distance.

The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Given, is a table defining the relations between the distance and the radius and time in references to a circle,

we need to find the distances, according to the question asked,

Since, we know that,

The time, t = π / 2 sec,

Also,

Calculate the distance by using the formula given below,

Distance = radius x time

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore,

We get, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

Hence, the distances asked in the circle are a = 1 / 2 π, b = 1π, and c = 3 / 2 π.

To know more about distance:

brainly.com/question/15256256

#SPJ2

The complete question is attached

Is the equation a linear function?
y = -x + 3

Answers

Answer:

x=3

Step-by-step explanation:

y=-x+3

0=-x+3

x=3

Four less than two times a number is seven times the sum of that number and 8. Which equation
could be used to solve this problem?

1. 4- 2n + 7n = 8
2. 2n - 4 = 7n + 8
3. 2n - 4 = 7(n + 8)
4. 4 - 2n = 7(n + 8)​

Answers

9514 1404 393

Answer:

  3.  2n - 4 = 7(n + 8)

Step-by-step explanation:

Two times a number is 2n. Four less than 2n is (2n-4). The sum of a number and 8 is (n+8). Seven times that sum is 7(n+8). The statement says these values are equal:

  2n -4 = 7(n +8)


Write the denominator for each of the decimal numbers. (each answer, 1 point)

.3078542
.0372
.26319​

Answers

Answer:

.3078542 -----> 5,000,000

.0372 ------> 2,500

.26319 ------> 100,000

Step-by-step explanation:

[tex].3078542 = \frac{3078542}{10000000} = \frac{1539271}{5000000}\\\\\\.0372 = \frac{372}{10000} = \frac{186}{5000} = \frac{93}{2500}\\\\\\\\.26319 = \frac{26319}{100000} \\[/tex]

What is the area of the figure to the nearest hundredth? Enter the answer in the box

Answers

The answer is 56 square meters

Can someone please help!

Answers

Number 10 is 257.08 inches of ribbon. I’m not sure about number 9

Plzzzzz help for a brainly

Answers

Answer:

32

Step-by-step explanation:

Remember angles in a triangle add up to equal 180 degrees

This means that x + 126 + 22 must equal 180

126 + 22 = 148

x + 148 = 180

subtract 148 from each side

148 - 148 cancels out

180 - 148 = 32

we're left with x = 32

Answer:

32 is the answer of above questions.

IF THE TWO ANGLES IN A LINEAR PAIR HAVE EQUAL MEASURES THEN EACH IS A RIGHT ANGLE

TRUE OR FALSE

Answers

My guess would be true

I’m need the answer pls

Answers

Answer:

B. 16 students

Step-by-step explanation:

Just count all of the dots.

Hope this helps

Brainliest would be appreciated

Answer:b

Step-by-step explanation: well 7+5+3+1= 16

Simplify.

4^3•4^-6

A. 1/4^3
B. 1/4^9
C. 1/4^18
D. 4^3

Answers

Answer:

A

Step-by-step explanation:

This can be rearranged as 4^3 * 1/(4^6)

or (4^3)/(4^6)

This can be changed to:

(4^3)/((4^3)*(4^3)

Which is equal to 1/(4^3)

or

4^(-3)

PLEASE HELP I DONT KNOW

Answers

Answer:

28 in.

Step-by-step explanation:

Since the right portion of the figure is a square, the unlabeled bottom must be the same as the top or 6 in., therefore just add up the pieces starting on the right side. (5 + 6 + 2 + 5 + 4 + 6 = 28)

Mr. Rodriguez bought 6 liters of diet soda. His two sons will drink the same amount each day and finish the diet soda in 4 days. Which expression shows how much they will drink each day? B​

Answers

Answer:

6÷3÷4= 0.75

Step-by-step explanation:

Each son will drink 0.75 liters of soda everyday to finish 6 liters of the soda in 4 days

the answer is 0.75 i hope that helps

have a good day

Here is a triangle with some triangles inside it.​

Answers

Step-by-step explanation:

it's just a guess but the other side of the triangle is 137 degrees

In a lab experiment, 2400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 19 hours. How long would it be, to
the nearest tenth of an hour, until there are 3300 bacteria present?

Answers

Answer:

It takes 8.7 hours for there to be 3300 bacteria present.

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate.

2400 bacteria are placed in a petri dish.

This means that [tex]P(0) = 2400[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2400(1+r)^t[/tex]

The conditions are such that the number of bacteria is able to double every 19 hours.

This means that [tex]P(19) = 2P(0)[/tex]. We use this to find 1 + r.

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]2P(0) = P(0)(1+r)^{19}[/tex]

[tex](1+r)^{19} = 2[/tex]

[tex]\sqrt[19]{(1+r)^{19}} = \sqrt[19]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{19}}[/tex]

[tex]1 + r = 1.03715504445[/tex]

So

[tex]P(t) = 2400(1+r)^t[/tex]

[tex]P(t) = 2400(1.03715504445)^t[/tex]

How long would it be, to the nearest tenth of an hour, until there are 3300 bacteria present?

This is t for which [tex]P(t) = 3300[/tex]. So

[tex]P(t) = 2400(1.03715504445)^t[/tex]

[tex]2400(1.03715504445)^t = 3300[/tex]

[tex](1.03715504445)^t = \frac{3300}{2400}[/tex]

[tex]\log{(1.03715504445)^t} = \log{\frac{33}{24}}[/tex]

[tex]t\log{1.03715504445} = \log{\frac{33}{24}}[/tex]

[tex]t = \frac{\log{\frac{33}{24}}}{\log{1.03715504445}}[/tex]

[tex]t = 8.7[/tex]

It takes 8.7 hours for there to be 3300 bacteria present.

Plz help me well mark brainliest if you are correct!...

Answers

Answer:

=

Step-by-step explanation:

The absolute value of 17 is equal to 17.

The other answer has a really good explanation, please take a look at that

Answer:

|17| = 17

Step-by-step explanation:

The absolute value of a real number x is defined as its positive distance from 0. Therefore, the two sides are equal. |17| does indeed equal 17.

what value do you give rif the
In the monthly payment formula M =
Pr(1 + r)"
(1 + r)" - 1
interest rate is 8.9%?
A. 0.74
B. 0.74
C. 0.0074
D. 0.0089

Answers

Answer:

c

Step-by-step explanation:

<3

The monthly rate of interest is 0.0074. Therefore, option C is the correct answer.

What is the rate of interest?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

The given rate of interest is 8.9%.

The monthly payment formula is M = Pr(1+ r)ⁿ/(1+ r)ⁿ - 1

Here, rate of interest

= 8.9%/12

= 0.089/12

= 0.0074

Therefore, option C is the correct answer.

To learn more about the rate of interest visit:

brainly.com/question/28236069.

#SPJ7

i will give brainliest

Five friends take a maths test
Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks

What are their individual scores

Answers

Answer:

[tex]Adam = 60[/tex]

[tex]Brandon = 66[/tex]

[tex]Chen = 74[/tex]

[tex]Damion = 75[/tex]

[tex]Erica = 75[/tex]

Step-by-step explanation:

Given

Represent each friend with the first letter of their name

So:

[tex]A + B + C =200[/tex]

[tex]B + C + D = 215[/tex]

[tex]C + D +E= 224[/tex]

[tex]A + B + C + D + E = 350[/tex]

[tex]D , E > C[/tex]

Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]

[tex]200 + D + E = 350[/tex]

Collect like terms

[tex]D + E = 350-200[/tex]

[tex]D + E = 150[/tex]

Make D + E the subject in [tex]C + D +E= 224[/tex]

[tex]D + E = 224 - C[/tex]

Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]

[tex]224 - C = 150[/tex]

Collect like terms

[tex]C = 224 - 150[/tex]

[tex]C = 74[/tex]

Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]

[tex]A + B + 74 = 200[/tex]

[tex]A + B =- 74 + 200[/tex]

[tex]A + B =126[/tex]

[tex]B + 74 + D = 215[/tex]

[tex]B + D = -74 + 215[/tex]

[tex]B + D = 141[/tex]

So, we have:

[tex]A + B =126[/tex]

[tex]B + D = 141[/tex]

[tex]D + E = 150[/tex]

We have: [tex]D , E > C[/tex]

i.e.

[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]

For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,

[tex]D = E = 75[/tex]

i.e.

[tex]75 + 75 = 150[/tex]

So, we have:

[tex]D = 75[/tex]

[tex]E = 75[/tex]

[tex]B + D = 141[/tex]

[tex]B + 75 = 141[/tex]

[tex]B = 141 - 75[/tex]

[tex]B = 66[/tex]

[tex]A + B =126[/tex]

[tex]A + 66 = 126[/tex]

[tex]A = 126 - 66[/tex]

[tex]A = 60[/tex]

HELP PLEASE!

Trish is shopping for a new vacuum online. The
reviews for the vacuum she wants show that 104
people gave the product 5-stars. If this number
represents 65% of the reviews left for the product,
how many total reviews were left for the product?

67.6
77
160
184

Answers

Answer: 160

Step-by-step explanation:

Based on the information given in the question, let the total reviews left for the product be represented by x.

Therefore, 65% of x = 104

65% × x = 104

0.65 × x = 104

0.65x = 104

x = 104/0.65

x = 160

Therefore, 160 reviews were left for the product.

brainliest for answer good trade

Answers

Answer:

9/22

Step-by-step explanation:

= 1 /2 − 1 /11

= 1 /2 + −1 /11

= 11 /22 + −2 /22

= 11+−2 /22

= 9 /22

(Decimal: 0.409091)

Answer:

9/22

Step-by-step explanation:

multiply 1 by 11, and get 11

multiply 1 by 2, and get 2.

Next we give both terms new denominators -- 2 × 11 = 22

11 − 2 = 9

What is the mean ? 50, 55, 58, 58, 90, 92, 99

Answers

sum of observations

mean =..........................

no. of observations

50+55+58+90+58+92+99 502

....................................... = .........= 71.7

7 7

awnser is 71.7

hope this helped

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. When does your balance first exceed $1200?

Answers

Answer:

It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Step-by-step explanation:

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]

Learn more about compound interest here:

https://brainly.com/question/1329401

#SPJ2

Degree and Radian Measures

What is the radian equivalent of 90°?

a. π/4
b. π/3
c. π/2
d. π/5

Please select the the best answer from the choices provided

Answers

Answer:

C. π/2

Step-by-step explanation:

I calculated it logically

A b c or d?? Lmk..Brainly

Answers

Answer:

28.3 (b)

Step-by-step explanation:

To solve circumference, you will need to use the equation C = 2 *pi* r

for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it

C= 2 pi (4.5)             Solve 2*4.5

C= 9 pi                     Now we input 3.14 for pi and multiply

C= 9(3.14)

C= 28.26                  Now we round to the nearest tenth to get

C=28.3

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

Answer:

the volume is 600

Step-by-step explanation:

15*8*5=600

v=w*h*l

help needed!! Mark as brainliest

Answers

Given:

The equation is:

[tex]2\sum_{n=3}^7n^2=\sum_{n=3}^72n^2[/tex]

To find:

Whether the equation is true or not.

Solution:

We have,

[tex]2\sum_{n=3}^7n^2=\sum_{n=3}^72n^2[/tex]

Taking LHS, we get

[tex]LHS=2\sum_{n=3}^7n^2[/tex]

[tex]LHS=2[(3)^2+(4)^2+(5)^2+(6)^2+(7)^2][/tex]

[tex]LHS=2[9+16+25+36+49][/tex]

[tex]LHS=2[135][/tex]

[tex]LHS=270[/tex]

Taking RHS, we get

[tex]RHS=\sum_{n=3}^72n^2[/tex]

[tex]RHS=2(3)^2+2(4)^2+2(5)^2+2(6)^2+2(7)^2[/tex]

[tex]RHS=2(9)+2(16)+2(25)+2(36)+2(49)[/tex]

[tex]RHS=18+32+50+72+98[/tex]

[tex]RHS=270[/tex]

Here, [tex]LHS=RHS[/tex].

Therefore, the given equation is true.

I really hope you guys will help me

Answers

Answer:

I think its

ai. fx-f3

ii. 5gx

Complete the first step in the solution.

4x=24

Answers

Answer:

x would be equal to 6

Step-by-step explanation:

24 would be divided by 4 because it's 4x

Answer:

x = 24 ÷ 4 or 24/4

Step-by-step explanation:

In order to isolate the variable, you multiply both sides by the reciprocal of 4, which is 1/4.

Other Questions
Which bird lay eggs only once in life? Find the value of each variable 17/ 18 ur mum ur mum ur mum What were five changes brought about by the railroad?A Goods were able to be transported all across the country.B East coast and west coast were linked.C The frontier was no longer as isolated.D New cities and towns were built.E Horse-drawn rail cars became popular.F More and better roads were built.G People moved west. Complete the first step in the solution.4x=24 With Company A, you can take a 2.25 hour helicopter ride for $ 270.With Company B, you can take a 90-minute helicopter ride for $ 180.Which of the two helicopter companies gives you the best ride for your money? Is the following number rational or irrational?0.3 A store bought 200 toys at a cost of $20 each. The store sold all the toys at a percent markup of 30%. Find the total selling price. How big is a piece of A4 paper? The majority of a cell's life is in this phase.A. centromereB. interphaseC. cytokinesisD. prophase Explain the impact the March on Washington had on helping the Civil Rights movement.(2-3 sentences please!) No links or files. NAME THIS FIGURE (multiple choice)m A company is testing a new protein shake which they claim works better than their existing brand in improving an athlete's performance. The company selected 60 athletes from a training camp database, and divided them into three groups. The ages for the groups were 16 to 20 years, 21 to 25 years, and 26 to 30 years. In each group, half of the subjects were asked to use the new protein shake for a month, and the other half were asked to use the company's existing brand for a month. The subjects were not informed about which protein shake they would be using. Which statements about this study are true? The study uses blocking to reduce variability from known factors. The study does not use a control group. The study uses random sampling. The study uses blocking on the basis of gender. The study uses a repeated measure design to reduce variability from unknown factors. The acronym for supply shifters is pigtents please fill in blanks by writing at 8 supply shifters help me pls pls pls :( Can someone help I dont understand Jorge baked cookies for his math class's end-of-year party. There are 29 people in Jorge's math class including Jorge and his teacher. Jorge baked enough cookies for everyone to get 2 cookies each. How many cookies did Jorge bake? Use the variable c to represent how many cookies Jorge baked. A 70 kg human body typically contains 140 g of potassium. Potassium has a chemical atomic mass of 39.1 u and has three naturally occurring isotopes. One of those isotopes, 40K (potassium), is radioactive with a half-life of 1.3 billion years and a natural abundance of 0.012 %. Each 40K (potassium) decay deposits, on average, 1.0 MeV of energy into the body.What yearly dose in Gy does the typical person receive from the decay of 40K (potassium) in the body? Express your answer using two significant figures. write 4.0410 in ordinary form HELP PLEASE!Trish is shopping for a new vacuum online. Thereviews for the vacuum she wants show that 104people gave the product 5-stars. If this numberrepresents 65% of the reviews left for the product,how many total reviews were left for the product? 67.677160184