I’m going to agree with Finagle’s response, and expand a little.
First, the thinking in radiation health physics is that any radiation exposure will increase the target organism’s chance of contracting cancer. Last time I read up on it there was still a debate between the ‘cumulative’ and ‘threshold’ schools of thought, but it seemed that the ‘cumulative’ school was gaining momentum.* Having said that, chronic doses of the order of about 100-200 mREM a year (approximately 10 times the normal exposure for persons at sea level) is not going to raise the cancer rate in the affected population signifigantly. I’m basing that last on the Johns Hopkins study of US Navy nuclear power exposure they did in the early 90’s. They found that it was impossible to find an increase in the cancer rate for seamen working on navy nuclear power plants, compared to the general population.**
For non-smokers the sources of natural radiation exposure come from three or four general categories: cosmic rays, radon and radon decay daughters, household potassium products (porcelain, in particular), and fallout from nuclear detonations. Of those four, the smallest exposure comes from the fallout, IIRC.*** The other three are about equally divided. Now, lead has a tenth thickness of about 2 inches for most gamma radiation: That is that the thickness of lead that will reduce the gamma flux by 90% is 2 inches. So, to get a 99.9% reduction in the cosmic gamma radiation you’d have to encase the house in 6 inches of lead. That’s on all six sides, too. And, even if one did line one’s house in lead that’s only 1/3 of the natural background.
Far, far too expensive to contemplate for a very low level hazard.
*‘cumulative’ vs. ‘threshold’ schools: Most rad health physics types believe that all radiation damage is cumulative, and so lifetime dose should be measured down to the smallest fraction of a REM. The iconoclasts believe that there is some reason to believe that there is a repair mechanism on the cellular level that can correct small levels of radiation damage, so long as the acute radiation dose does not exceed an as-yet-undetermined value.
**There are some people who criticized the Johns Hopkins study, because the study found that cancer rates were lower in the exposed group, compared to the general population. The explaination for that, IMNSHO, is that naval personnel have to meet minimum physical standards that mean that they can be assumed, as a group, to be in better health than the general population. Also, the study discounted incidents of most lung cancers (esp. mesothelioma) as being due to either asbestos exposure (A very real health hazard in the Navy, even today.) or smoking.
*** This actually dates to my initial training back in the early 90’s, when it had been years and years since anyone had done aboveground testing of nukes. With the displays by Pakistan and India, this may have changed.