You are walking along the river and decide to drink water from an irrigation pipe marked, “Not potab
Question: You are walking along the river and decide to drink water from an irrigation pipe marked, “Not potable, for irrigation only. Do not drink.” You are thirsty, so you drink anyway. After returning home, you decide to figure out the likelihood that water was clean. An internet search reveals there are three kinds of bacteria
possibly present in the water that can make you sick: bacteria A, B, and C. The internet also tells you the probabilities of these bacteria appearing in the water. The data are given in Table 1.
(a) What is the probability that the water did not contain any of the bacteria?
(b) Unfortunately, you indeed get sick. But you are unsure as to whether it came from drinking the non potable water or whether it came from eating possibly undercooked chicken the night before. When someone is exposed to the bacteria in the water, they will get sick with probability 0.3. When someone is exposed to raw chicken bacteria, they will get sick with probability 0.6. You figure the chicken was undercooked with probability 0.2. Assuming that the water bacteria and the chicken bacteria are your only possible sources of illness, what is the probability you got sick from the water bacteria? (You will need to use your answer from (a).)
(c) What is the probability you got sick from the chicken bacteria?
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