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%), or infection (17%).
a) Determine the probability that a failure is due to induced substance.
b) Determine probability that failure is due to disease or infection.

Answer 1

You can make a tree diagram that is very useful.

---- substances (73%)
----outside (13%) ---- objects (27%)
fail
----natural (87%) etc.

so the fraction (the probability) induced by outside substances is (0.73)(0.13) = 0.095
or 9.5%

finish the natural side of the tree to get the fraction caused by disease.

Answer 2

got it to ur email

Answer 3

yep