Using the information presented calculate the following probabilities:
Blood Alcohol Level of Victim
A B C
Age 0.00% 0.01-0.09% 0.10%
D 0-19 142 7 6 155
E 20-39 47 8 41 96
F 40-59 29 8 77 114
G 60 over 47 7 35 89
Total 265 30 159 454
A) P(A or D)
B) P(B or F)
C) P(C or G)
D) P(B or C or G)
To calculate the probabilities, we will use the information provided in the table. Each entry in the table represents the count of individuals falling into a specific category.
First, let's calculate the total count for each option:
A) P(A or D): A represents an age group with 0% blood alcohol level and D represents the age group of 0-19 years. Adding up the counts for both, we get 142 + 7 = 149.
B) P(B or F): B represents an age group with a blood alcohol level of 0.01-0.09% and F represents the age group of 40-59 years. Adding up the counts for both, we get 8 + 77 = 85.
C) P(C or G): C represents an age group with a blood alcohol level of 0.10% and G represents the age group of 60 years and over. Adding up the counts for both, we get 35 + 89 = 124.
D) P(B or C or G): B represents an age group with a blood alcohol level of 0.01-0.09%, C represents an age group with a blood alcohol level of 0.10%, and G represents the age group of 60 years and over. Adding up the counts for all three, we get 8 + 35 + 7 = 50.
Now, to calculate the probabilities, we divide each count by the total count in the table (454).
A) P(A or D) = 149 / 454 ≈ 0.328 (or approximately 32.8%)
B) P(B or F) = 85 / 454 ≈ 0.187 (or approximately 18.7%)
C) P(C or G) = 124 / 454 ≈ 0.273 (or approximately 27.3%)
D) P(B or C or G) = 50 / 454 ≈ 0.110 (or approximately 11.0%)