Discuss the below:
Q: Carbon monoxide (CO) is a colorless, odorless, tasteless toxic gas produced by incomplete combustion in fuel-burning devices. Persons with CO poisoning often overlook the symptoms. In Ontario, a total of 981 cases of unintentional CO poisoning was reported. Each case was classified as fatal and nonfatal and by source of exposure. The number of cases occurring in each of the categories is shown in the accompanying table. Assume that 1 of the 981 cases of unintentional CO poisoning is randomly selected.
a- List all sample points for this experiment.
b- Let A be the event that the CO poisoning is caused by fire. Find P(A).
c- Let B be the event that the CO poisoning is fatal. Find P(B).
d- Let C be the event that the CO poisoning is caused by Auto Exhaust. Find P(C).
e- Let D be the event that the CO poisoning is caused by Auto Exhaust and is Fatal. Find P(D).
f- Let E be the event that the CO poisoning is caused by fire but nonfatal. Find P(E).
g- Given that the source of the poisoning is fire, what is the probability that the case is fatal?
h- Given that the case is nonfatal, what is the probability that it is caused by auto exhaust?
i- If the case is fatal, what is the probability that the source is unknown?
j- If the case is nonfatal, what is the probability that the source is not fire or a fireplace?