## Is it possible to estimate the uncertainty in this measurement?

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.

### What is the probability that the parcel was shipped express and arrived the next day?

1.  In a lot of n components, 30% are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective,….

### Given that the test is positive, what is the probability that the person has the disease?

1.  Refer to Exercise 28. Assume that both inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw. a.  Assume that….

### If a man tests negative, what is the probability that he actually has the disease?

1.  Refer to Example 2.26. a.  If a man tests negative, what is the probability that he actually has the disease? b.  For many medical tests, it is standard procedure….