If I understood the links, numbers and dosage units correctly, if the average person flies 50 times a year they may increase their chances of getting cancer by 1%.
That's the high end and assumes 50 flights a year every year for someone's entire life, I believe.
I think my calculations were wrong yesterday. I got a different number today.

(In my defense, I know very little about this area -- even the units for measuring radiation doses are brand new to me.)
For now, let's assume that the radiation dose per use is .02 mSv
(using the manufacturer’s figures as quoted from NPR article, link and quote in the OP)
and
that 1 out of 100 people will get cancer from a one-time exposure of 0.1 Sv of low-LET radiation above background.
(statistic worked up by The National Research Council’s Committee on the Biological Effects of Ionizing Radiation (BEIR) in their book, available on line:
Health Risks from Exposure to Low Levels of Ionizing Low Levels of Ionizing Radiation: BEIR VII Phase 2 Their study was summarized on page 7 and they go into more detail in Chapt. 12. )
My grasp of radiation units is still a little shaky, but I believe that
.02 mSv is equal to 2 mrem
.1 Sv is equal to 10, 000 mrems
(At low levels of LET, the mrem and Sv units are apparently interchangeable)
Using the manufacturers figures, an “average” airline passenger could use the backscatter machine 5,000 times before he would have a 1% risk of getting cancer as a direct result.
BUT
it appears that was not my only mistake yesterday.
It seems that I shouldn't use the manufacturer’s number of .02 mSv.
For everyone’s convenience, I’m requoting the University of California (SF) scientist’s reasoning as to why that figure is unrealistic:
Here's it is again from
an NPR article that was also in the OP:
The San Francisco group thinks both the machine's manufacturer, Rapiscan, and government officials have miscalculated the dose that the X-ray scanners deliver to the skin — where nearly all the radiation is concentrated.
The stated dose — about .02 microsieverts, a medical unit of radiation — is averaged over the whole body, members of the UCSF group said in interviews. But they maintain that if the dose is calculated as what gets deposited in the skin, the number would be higher, though how much higher is unclear.
and from a
blogger:
Furthermore, when making this comparison, the TSA and FDA are calculating that the dose is absorbed throughout the body. According the simulations performed by NIST, the relative absorption of the radiation is ~20-35-fold higher in the skin, breast, testes and thymus than the brain, or 7-12-fold higher than bone marrow. So a total body dose is misleading, because there is differential absorption in some tissues. Of particular concern is radiation exposure to the testes, which could result in infertility or birth defects, and breasts for women who might carry a BRCA1 or BRCA2 mutation. Even more alarming is that because the radiation energy is the same for all adults, children or infants, the relative absorbed dose is twice as high for small children and infants because they have a smaller body mass (both total and tissue specific) to distribute the dose. Alarmingly, the radiation dose to an infant's testes and skeleton is 60-fold higher than the absorbed dose to an adult brain!
This all sounds very reasonable to me. If anyone disagrees with the UCSF scientists or the above blogger, could you please post and explain why?
I'd also appreciate it if someone can confirm if the way the blogger uses the word "fold" in "the radiation is ~20-35-fold higher" means that a base number is suppose to be raised somewhere between the power of 20 and the power of 35. And if that is the case, any suggestions on how to find the base number?
Thanks!
Another issue is that only average numbers have been mentioned. I think the range of numbers in the dataset is very important also when formulating a health policy on deciding whether to use x-ray machines on people for security purposes. In other words when averaging numbers, its possible that all the numbers can be close to the mean average or they can be wildly apart. What is the general case in radiation studies? Has anyone seen those numbers?