1.  For some measuring processes, the uncertainty is approximately proportional to the value of the measurement. For example, a certain scale is said to have an uncertainty of ±2%. An object is weighed on this scale.

a.   Given that the reading is 100 g, express the uncertainty in this measurement in grams.

b.  Given that the reading is 50 g, express the uncertainty in this measurement in grams.

2.   A person stands on a bathroom scale. The reading is 150 lb. After the person gets off the scale, the reading is 2 lb.

a.  Is it possible to estimate the uncertainty in this measurement?

b.  If so, estimate it. If not, explain why not. Is it possible to estimate the bias in this measurement? If so, estimate it. If not, explain why not.