In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt produced in the neutralization reaction), pH is measured to monitor the reaction. Suppose that the equivalence point is reached after approximately 100 mL of an NaOH solution has been added (enough to react with all the acetic acid present) but that replicates are equally likely to indicate from 95 to 104 mL, measured to the nearest mL. Assume that two technicians each conduct titrations independently.

(a) What is the probability that both technicians obtain equivalence at 100 mL?

(b) What is the probability that both technicians obtain equivalence between 98 and 104 mL (inclusive)?

(c) What is the probability that the average volume at equivalence from the technicians is 100 mL?