Carbon monoxide poisoning. The American Journal of Public Health (July 1995) published a study on unintentional carbon monoxide (CO) poisoning of Colorado residents. A total of 981 cases of CO poisoning was reported during a six-year period. Each case was classified as fatal or nonfatal and by source of exposure. The number of cases occurring in each of the categories is shown in the next table. Assume that 1 of the 981 cases of unintentional CO poisoning is randomly selected.
a. List all sample points for this experiment.
b. What is the set of all sample points called?
c. Let A be the event that the CO poisoning is caused by fire. Find P(A).
Source of Exposure
Fatal
Nonfatal
Total
Fire
63
53
116
Auto exhaust
60
178
238
Furnace
18
345
363
Kerosene heater or
9
18
27
space heater
Appliance
9
63
72
Other gas-powered
3
73
76
motor
Fireplace
0
16
16
Other
3
19
22
Unknown
9
42
51
Total
174
807
981
Source: Cook. M. C„ Simon P. A., and Hoffman. R. E. “Unintentional carbon monoxide poisoning in Colorado, 1986 through 1991,” American lournal of Public Health, Vol. 85, No. 7, July 1995, p. 989 (Table 1).
d. Let B be the event that the CO poisoning is fatal. Find P (B).
e. Let C be the event that the CO poisoning is caused by auto exhaust. Find P(C).
f. Let D be the event that the CO poisoning is caused by auto exhaust and is fatal. Find P (D).
g. Let-E be the event that the CO poisoning is caused by fire but is nonfatal. Find P (E).
h. Given that the source of the poisoning is fire, what is the probability that the case is fatal?
i. Given that the case is nonfatal, what is the probability that it is caused by auto exhaust?
j. If the case is fatal, what is the probability that the source is unknown?
k. If the case is nonfatal, what is the probability that the source is not fire or a fireplace?
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