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.
To identify mutually exclusive events in the provided contingency table, we need to look for events that cannot occur simultaneously. In other words, if one event happens, the other cannot.
a. To identify mutually exclusive events:
Looking at the table, let's consider two events:
Event 1: Age 0-19 (column D)
Event 2: Age 20-39 (column E)
These two events are mutually exclusive because an individual cannot simultaneously belong to both age groups. If a person belongs to age group 0-19, they cannot belong to age group 20-39 at the same time.
Now let's identify two events that are of interest, or events that we want to measure or analyze.
b. To identify two events of interest:
Event 1: Blood Alcohol Level ¡Ý0.10% (row C)
Event 2: Age 40-59 (row F)
These two events are of interest for analysis, as they give us information about fire fatalities in Maryland based on individuals with a blood alcohol level of at least 0.10% and individuals aged 40-59.
By considering the columns and rows of the contingency table, you can identify mutually exclusive events and events of interest for further analysis.