1. Consider the single-event distribution:-bze -az
fi(z) =
a>b>0
z In (7)
Calculate the multi-event distribution f(z;n), where n is
the average number of events
2. Consider n radioactive sources having, respectively, 1 mCi,
2 mCi, 3 mCi,…,n mCi. We wish to divide these sources in
3 bundles of equal total activity. For which n is this
possible?
3. A colony containing n bacteria is infiltrated by a virus.
During the first minute the virus kills one bacterium and
then the virus and the bacteria left divide in two. Next
minute the two viruses kill two bacteria and then the two
viruses and the bacteria left divide in two again. Would the
colony survive or be annihilated?
4. Given that 3 alpha particles traversed a cell what is the
probability that the dose is D?
5. In a spherical volume of 1 μm diameter the frequency-
averaged lineal energies, YF,
y = yf (y) dy/∞ f(y)
for 60Co photons, 200 kV x rays, 65 kV x rays and tritium
electrons are, respectively, 0.39, 1.5, 2.11 and 3.24
keV/um. Calculate the probability that, at a dose of 1 Gy no
particle will traverse this volume
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