The following contingency table of frequencies is based on a five 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
Age A B C
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 intersect.
Actually figured this one out.
To identify mutually exclusive events in the contingency table, we need to find two events that cannot occur at the same time, meaning that if one event happens, the other cannot.
In this contingency table, we have the events based on blood alcohol levels:
Event 1: A - Blood Alcohol Level of Victim is 0.00% (No alcohol)
Event 2: C - Blood Alcohol Level of Victim is ≥0.10% (High alcohol)
These two events are mutually exclusive because a victim cannot have both 0.00% blood alcohol level and ≥0.10% blood alcohol level at the same time. So, if event 1 (A) occurs, event 2 (C) cannot occur, and vice versa.
To identify intersecting events in the contingency table, we need to find two events that have some overlapping occurrences, meaning that both events can occur simultaneously.
In this contingency table, we have the events based on age groups:
Event 1: D - Age of Victim is 0-19 years
Event 2: E - Age of Victim is 20-39 years
These two events intersect because there are occurrences in the table where victims fall into both age groups (D and E). For example, there are 47 victims who are both in the age group 0-19 years (D) and have a blood alcohol level below 0.10% (A).
So, events D and E intersect in this contingency table.