Answer
66 mrem/year
Work Step by Step
The biological damage is measured by the effective dose, equation 31–10a.
$$effective\;dose\;(rem)=dose\;(rad)\times \;RBE$$
The effective dose (in rem) is equal to the actual dose (in rad) multiplied by the Relative Biological Effectiveness (RBE).
The table on page 901 shows that the RBE of x-rays is 1.
$$dose(rem)=(32\frac{mrad}{yr})(1)+ (3.4\frac{mrad}{yr})(10)$$
$$dose(rem)=66\frac{mrem}{yr}$$