On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?A. 0.4051

B. 0.5010

C. 0.4653

D. 0.6632

Answers

Answer 1

Answer: On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctorstold her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. The probability after the test was taken that she will have a heart attack is "B. 0.501."

Answer 2

Answer:

Answer:

The probability that she will not have a heart attack and the test predicts that she will is 0.4653 or 46.53%

Step-by-step explanation:

Hint- This a conditional probability problem where Bayes theorem should be applied.

Applying Bayes theorem,

$P(\text{No heart attack}\ |\ \text{Correctly tested})=$

$\frac{P(\text{Correctly tested}\ |\ \text{No heart attack})\cdot P(\text{No heart attack})}{P(\text{Correctly tested})}$

$P(\text{Correctly\ tested}\ |\ \text{No\ heart\ attack})=67\%=0.67$

$P(\text{No\ heart\ attack})=1-P(\text{heart\ attack})=1-0.7=0.3$

$P(\text{Correctly\ tested})=[P(\text{No\ heart\ attack})* P(\text{Correctly\ tested})]+[P(\text{Heart\ attack})* (\text{Incorrectly\ tested})]$

$=[0.3* 0.67]+[0.7* 0.33]=0.432$

Putting the values,

$P(\text{No\ heart\ attack}\ |\ \text{Correctly\ tested})=(0.67* 0.3)/(0.432) =0.4653$

∴ There is a probability of 0.4653 or 46.53% chance that she will not have a heart attack even though the test predicts that she will.

Related Questions

Explain when each method(graphing, substitution,linear combinations) is a good method to find a solution to a system of equations.
Question 3 (Multiple Choice Worth 6 points)(09.01 LC) Amy is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd}, and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∪ B. {3, 6, 9, 12} {1, 3, 5, 7, 9, 11} {3, 5, 6, 7, 9, 11, 12} {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
What is the means-to-MAD ratio of the two data sets, expressed as a decimal?Data set Mean Mean absolute deviation (MAD) 1 10.7 2.4 2 13.7 2.5 2.What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth? Data Set 1: {14, 18, 21, 15, 17} Data Set 2: {15, 17, 22, 20, 16}
Coach Shaw is buying baseball equipment for his team. he gets a reduced rate if he buys 8 baseballs for every 3 batting helmets. The reduced rate is $2.25 per baseball and $22.50 per helmet. The sales tax on each item is 6%. Coach Shaw has $400 in his budget to buy baseballs and helmets. What is the greatest number of baseballs and helmets he can buy at the reduced rate if the ratio of baseballs to helmets is 8:3?
Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 3). You don't have an equation for S but you know that the curves r₁(t) = 4 + 3t, 1 − t², 3 − 5t + t²r₂(u) = 3 + u², 2u³ − 1, 2u + 1 both lie on S. Find an equation of the tangent plane at P.

Approximately 15% of the shirts at windsor and best garment factory are labeled irregular and di not receive the windsor and best label. At this rate how many shirts neef to be made to produce approximately 500 Windsor and Best shirts are not irregular?

Answers

500 is 15% less than the number that need to be made, because 15% of
the number that are made will be irregulars.

Remember that 15% = 0.15

500 = 85% of the number.

500 = 0.85 of the number.

Divide each side by 0.85 :

The number = 500 / 0.85 = 589 shirts

Which sentence describes why polygon MNOP is congruent to polygon JKLP?

Answers

The segment MN is equal in size to the segment JK, the segment NO is equal in size to the segment KL, the segment OP is equal in size to the segment LP.

For an angle Θ with the point (5, -12) on its terminating side, what is the value of cosine

Answers

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13 or 0.385.

Answer:

5/13

Step-by-step explanation:

The cost of a gallon of orange juice is 3.50. What is the maximum number of can trainers you can buy for $15?

Answers

We have that for the Question "The cost of a gallon of orange juice is 3.50. What is the maximum number of can trainers you can buy for $15?" it can be said that the maximum number of can trainers you can buy for $15 is

x=4.285

From the question we are told

The cost of a gallon of orange juice is 3.50. What is the maximum number of can trainers you can buy for $15?

Generally the equation for the maximum number is mathematically given as

$x=(amount you have)/(price)\n\nx=(15)/(3.50)$

x=4.285

For more information on this visit

brainly.com/question/19007362

WORK:
$15 ÷ $3.50 = 4.285714386
4.285714386 ≈ 4
ANSWER:
The maximum number of containers you can buy for $15 is 4 containers.

Which of the following is closet to 27.8 x 9.6?a. 280
b. 300
c. 2800
d. 3000

Answers

The answer is A. It's closet to 280 seeing how it is 265

the answer is A.200 because 27.8 times 9.6 is 266.88 which is closer to A. 280

Jalyn plans to sell Algebra Nation t-shirts as a fundraiser for a new scholarship initiative. The wholesale t-shirt company charges Jalyn $10.00 a shirt for 75 shirts or less. If the number of t-shirts purchased is between 76 and 150 shirts, the company will lower its price to $7.50 per shirt. If Jalyn purchases 150 or more shirts, the price will decrease to $6.00 per shirt. Which of the following statements are true? Select all that apply.

Answers

If each shirt costs $10 within the purchase of 1 to 75 shirts, the function will be: 10x (with x being the number of shirts, from 1 to 75). If each shirt costs $7.50 within the purchase of 76 to 150 shirts, the function will be: 7.5x (with x being between 76 and 150). Finally, if each shirt costs $6 within the purchase of 150 or more shirts, the function will be: 6x (with x being any number from 150 up).

Other Questions

)The figure below shows parallel lines cut by a transversal: A pair of parallel lines is shown, cut by a transversal. Angle 1 is located in the upper right exterior corner on the top line, and angle 2 is located in the upper right corner of the bottom line. Which statement is true about ∠1 and ∠2? 1 and 2 are complementary because they are a pair of corresponding angles 1 and 2 are congruent because they are a pair of corresponding angles 1 and 2 are complementary because they are a pair of alternate interior angles 1 and 2 are congruent because they are a pair of alternate interior angles

Find all polar coordinates of point P where P = ordered pair 6 comma negative pi divided by 5.

Astronauts milky and way boarded their spacecraft 4 1/2 hours before launch. They ate lunch 2 1/3 hours after launch. How many hours passed between boarding time and lumch time?

Explain how you can use a number line to show that 5/8 is greater than 3/8