Please make sure to show your work (formula setup, calculations, etc.) and state any properties or rules you need to solve!

Early in 2007 Consumer Reports published the results of an extensive investigation of broiler chickens purchased from food stores in 23 states. Tests for bacteria in the meat showed that 81% of the chickens were contaminated with campylobacter, 15% with salmonella, and 13% with both.

(a) What's the probability that a tested chicken was not contaminated with either kind of bacteria?

(b) Are contamination with the two kinds of bacteria disjoint? Explain thoroughly.

(c) Are contamination with the two kinds of bacteria independent? Explain thoroughly.