Each year the Australian Institute of Health and Welfare of the Australian Government releases on their website a report

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Each year the Australian Institute of Health and Welfare of the
Australian Government releases on their website a report on the
number of deaths occurred in Australia. The 2019 report is
accessible from this URL:
https://www.aihw.gov.au/reports/life-ex ... deaths-in-
australia/contents/leading-causes-of-death. Appearing in the web
report is “Figure 3.1: Leading underlying causes of death, by sex,
2019.”, that shows the top 5 leading underlying causes of death in
Australia in 2019, for males and females of all ages combined. The
same figure is shown below for ease of reference. In summary, the
leading cause of death for males was coronary heart disease (CHD),
which accounted for 10,448 deaths. Dementia including Alzheimer
disease was the leading cause of death for females, accounting for
9,522 deaths, followed by coronary heart disease (7,283 deaths).
Cerebrovascular disease, lung cancer and chronic obstructive
pulmonary disease (COPD) made up the top 5 leading underlying
causes of death in Australia in 2019, for males and females of all
ages combined. Using the reported numbers provided in Figure 1 and
applying your understanding of probability, conditional
probabilities, and Bayes’ theorem, you are asked to answer the
following questions. To obtain full mark on each question, you must
show your steps clearly in the answer. In your calculations, you
can assume that the total number of deaths in 2019 were due solely
to these five leading underlying causes of death. Question 1 (a)
Estimate the probability that a randomly chosen Australian male who
dies in the future will die of coronary heart disease (CHD). (b)
Estimate the probability that a randomly chosen Australian female
who dies in a future year will die of Chronic obstructive pulmonary
disease (COPD). (c) Comment on how accurate your estimates are
likely to be?