Mathematics, 27.09.2019 20:30 iselloutt4fun

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: 2

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Answer from: tot92

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 from: baseball1525

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,

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

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

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

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

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

$=[0.3\times 0.67]+[0.7\times 0.33]=0.432$

Putting the values,

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

∴ 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.

On discovering that her family had a 70% risk of heart attack, erin took a treadmill test to check h

Answer from: Quest

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

Answer from: Quest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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