In a study of genetically modified crop cultures, let R R\,R be the event that a culture exhibits rapid growth and S S\,S be the event that it shows stress resistance. Historical data suggests that:
P(R∩S)=0.12 P(R \cap S) = 0.12 P(R∩S)=0.12 P(R′∩S′)=0.28 P(R' \cap S') = 0.28 P(R′∩S′)=0.28 P(S)=2P(R) P(S) = 2P(R) P(S)=2P(R)Determine P(R)P(R)P(R).
Find the probability that a culture shows stress resistance, given that it exhibits rapid growth.
Determine, with a calculation, whether R R\,R and S S\,S are independent events.
