Heart failures are due to either natural occurrences (87%)

Chapter 2, Problem 128E

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QUESTION:

Heart failures are due to either natural occurrences (87%) or outside factors (13%). Outside factors are related to induced substances (73%) or foreign objects (27%). Natural occurrences are caused by arterial blockage (56%), disease (27%), and infection (e.g., staph infection) (17%).

(a) Determine the probability that a failure is due to an induced substance.

(b) Determine the probability that a failure is due to disease or infection.

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QUESTION:

Heart failures are due to either natural occurrences (87%) or outside factors (13%). Outside factors are related to induced substances (73%) or foreign objects (27%). Natural occurrences are caused by arterial blockage (56%), disease (27%), and infection (e.g., staph infection) (17%).

(a) Determine the probability that a failure is due to an induced substance.

(b) Determine the probability that a failure is due to disease or infection.

ANSWER:

Step 1 of 4

Given,

Probability of heart failures due to natural occurrences, P(N) = 0.87

Probability of heart failures due to outside factors, P(O) = 0.13

Probability of heart failures due to outside factors related to induced substances, P(S) = 0.73

Probability of heart failures due to outside factors related to foreign objects, P(F) = 0.27

Probability of heart failures due to natural occurrences caused by arterial blockage, P(B) = 0.56

Probability of heart failures due to natural occurrences caused by disease, P(D) = 0.27

Probability of heart failures due to natural occurrences caused by infection, P(I) = 0.17

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