rK: Stat1220-E MATHEMATICAL ASSOCIATION OF AMERICA webwork/stat1220- / homework4

Question

rK: Stat1220-E MATHEMATICAL ASSOCIATION OF AMERICA webwork/stat1220- / homework4/4 Homework4: Problem 4 Previous Problem List Next (1 point) Government data assign a single cause for each death that occurs in the United States. (This means that the listed cause of death for an individual cannot be both cancer and cardiovascular disease.) In a certain city, the data show that the probability is 0.3 that a randomly chosen death was due to cardiovascular (mainly heart) disease, and 0.15 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 due to some other cause is Note: You can ean partial credit on this problem. You have attempted this problem 0 times. You have 3 attempts remaining

Explanation / Answer

Ans: Given data

Use the addition rule for the first question since the events are mutually exclusive.

Pr(due to heart or cancer) = Pr(heart) + Pr(cancer)=0.3+0.15= 0.45

Use the complementation rule for the second Question.

Pr(other cause) = 1

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