# Continuous and discrete variable & conditional probability

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

Probability distribution for discrete random variables

From past experience, an automobile insurance company knows that a given automobile will suffer a total loss with probability .02, a 50% loss with probability .08, or a 25% loss with probability .15 during a year. What annual premium should the company charge to insure a $10,000 automobile, if it wishes to "break even" on all policies of this type? (Assume there will be no other partial loss)

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