In the electorate of Wobbegong, 60% of the electors are male, and 40% female. 55
ID: 3177895 • Letter: I
Question
In the electorate of Wobbegong, 60% of the electors are male, and 40% female. 55% of the males vote Labor, 40% Liberal and 5% Other, while 45% of the females vote Labor, 50% Liberal and 5% Other. A Labor voter is chosen at random. What is the probability that the voter is male? (b) A Department of Health report states: "If a tested patient has the disease, then the test will indicate positive 1 99% of the time; and if a tested patient does not have the disease, then the test will indicate 'negative' 95% of the time". Supposing that only one in a thousand of the population has that disease, calculate the probability that the tested patient has the disease given that the test was positive. Supposing that only one in a thousand of the population has that disease, calculate the probability that the tested patient has the disease given that the test was negative.Explanation / Answer
a)
P(Voter is Male) =number of favorable outcomes / total number of possible outcomes= 1/2=0.5
Hope this will helpful. Thanks :-)
Male Female Total Labor 0.55 0.45 1.00 Liberal 0.4 0.5 0.90 Other 0.05 0.05 0.10 Total 1 1 2.00