Government data assign a single cause for each death that occurs in the United S
ID: 3275135 • Letter: G
Question
Government data assign a single cause for each death that occurs in the United States. (Thus, in government terminology, causes of death are mutually exclusive.) In a certain city, the data show that the probability is 0.37 that a randomly chosen death was due to cardiovascular (mainly heart) disease, and 0.25 that it was due to cancer. (a) The probability that a death was due either to cardiovascular disease or to cancer is __________. (b) The probability that the death was not due to either of these two causes is ____________.Explanation / Answer
Solution:
a)
Use the addition rule for the first question since the events are mutually exclusive.
Pr(due to heart or cancer) = Pr(heart) + Pr(cancer) = 0.37+0.25 = 0.62
b)
Use the complementation rule for the second question.
Pr(other cause) = 1 – Pr(heart or cancer) = 1 – 0.62 = 0.38
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