Consider a powder with 99.5% AuCl3 particles and 0.5% AgCl particles, and each weighs 10 µg.
a. If one weighed out 40 mg of the mixture, how much AgCl will be weighted out, and what is the standard deviation (answer to 2 significant figures)?
b. Assuming that the probability distribution is Gaussian, what is the probability (in %) that you will weigh out >47% more AgCl than the expected average amount?