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# Continuous and discrete variable & conditional probability

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Using the table

Blood Alcohol Level of Victim
Age A0.00% B0.01-09% C¡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
Calculate the conditional probability of C given each of the age groups, or P(C|D), P(C|E), etc. Compare these probabilities and speculate as to wish age groups seem more likely than others to have been (according to the legal definition at that time, 0.10% blood alcohol content) intoxicated at the time they were victims.

Indicate whether each of the following random variables is discrete or continuous.
a. The diameter of aluminum roads coming off production line.
b. The number of years of schooling employees have completed
c. The Dow Jones Industrial Average
d. The volume of milk purchased during a supermarket visit

https://brainmass.com/statistics/conditional-probability-distribution/continuous-and-discrete-variable-conditional-probability-205463

#### Solution Preview

Blood Alcohol Level of Victim
Age A0.00% B0.01-09% C¡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
P(C/D)=6/155= 0.0387
P(C/E)=41/96=0.4270
P(C/F)=77/114=0.6754
P(C/G)=35/89=0.3933

The ...

#### Solution Summary

Solves two problems related to probability theory and variable type

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