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2% is the population having a cancer in his life. The next step is: if one has a cancer in his life, what is the probability that he has a cancer in this moment? This probability is 5/75, the percentage of the years of your life spent having a cancer if you are sick.
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- 2% of the people get a cancer once in life;
- If you consider the population evenly distributed with ages you have for each age group 1/75 of the population;
- If cancer lasts on average 5 years you should multiply the population per 5* 2% * 1/75.
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75 = life expectancy of a chinese woman
5 = average duration of having cancer
2/100 = 2% of population having cancer at some point in their lives.
So, you are basically taking 5/75 and multiplying it by 2%
What we are saying is that 2% of the population will have cancer at some point. And, they will have it for 5 years out of their 75. So, at any given point in time, .13% will be sick (the 2% of people for 5/75 of the time)
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