The data on the right represent the number of traffic fatalities by seat location and gender. consider a victim randomly selected from the study.

a. what is the probability that the victim is a malemale?

b. given that the victim was in the driverdriver seat, what is the probability that the victim is a malemale?

The question is incomplete as the data for the question is unavailable. The probability for the given scenario can be calculated by the following data that is taken from web search and is similar to given scenario .

Female Male Total

Driver 32,740 11,797 44,537

Passenger 6,566 6,412 12,978

Total 39,306 18,209 57,515

a.

P(victim is a male)=P(M)=?

P(M)=n(M)/n(S)

P(M)=18209/57515

P(M)=0.316596

P(M)=0.317 (rounded to 3 decimal places).

Thus, the probability that the victim is a male is 0.317.

b.

P(victim is male/victim was in driver seat)=P(M/D)=?

P(M/D)=P(M∩D)/P(D)

P(M∩D)=n(M∩D)/n(S)

P(M∩D)=11797/57515

P(M∩D)=0.2051

P(D)=n(D)/n(S)

P(D)=44537/57515

P(D)=0.7744

P(M/D)=P(M∩D)/P(D)

P(M/D)=0.2051/0.7744

P(M/D)=0.2649

P(M/D)=0.265 (rounded to 3 decimal places).

Thus, the probability that the victim is a male given that he victim was in the driver seat is 0.265.

fichoh fichoh · Answer 2 · 2021-09-28T07:46:15+02:00

Using the concept of direct and conditional probability, the probability that :

Victim is male = 0.3166
Victim is male given that victim was in driver's seat is 0.2649

Recall :

Probability = required outcome / Total possible outcomes

1.) Probability that victim is male :

P(male) = Number of male victims / total passengers
P(male) = 18209 / 57515 = 0.3166

2.) Probability of male given that victim was in the driver's seat :

Recall conditional probability :

P(A|B) = P(AnB) / P(B)

P(male | driver's seat) = P(male n driver's seat) / P(driver's seat)

P(male|driver's seat) = 11797 / 44537 = 0.2649

Therefore,

P(male) = 0.3166
P(male|driver's seat) = 0.2649

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