The following contingency of frequencies is based on a 5-year study of fire fatalities in Maryland. For purposes of clarity, columns and rows are identified by the letters A-C and D-G, respectively.

Blood Alcohol Level of Victim
A B C
Age 0.00% 0.01-0.09% ¡Ý0.10%
D 0-19 142 7 6 155
E 20-39 47 8 41 96
F 40-59 29 8 77 114
G 60 or over 47 7 35 89
265 30 159 454+
a. For this table, identify any two events that are mutually exclusive.
b. For this table, identify any two events that interest.

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a. To identify mutually exclusive events, we are looking for events that cannot occur at the same time. In this contingency table, we have two categories for the blood alcohol level: "0.01-0.09%" and "¡Ý0.10%". Therefore, the events "A: Blood Alcohol Level = 0.01-0.09%" and "B: Blood Alcohol Level = ¡Ý0.10%" are mutually exclusive. This means that a fire fatality victim cannot have both a blood alcohol level of "0.01-0.09%" and "¡Ý0.10%" at the same time.

b. To identify two events of interest, we are looking for events that we want to find more information about. In this contingency table, we can consider the events "C: Age 40-59" and "D: Blood Alcohol Level of Victim = ¡Ý0.10%". This combination would give us the number of fire fatalities in the age group 40-59 with a blood alcohol level of ¡Ý0.10%. Similarly, any other combination of age group and blood alcohol level can be considered as events of interest.