The data on the right represent the number of traffic fatalities by seat location and gender. Determine P() and P(|). Are the events "" and "" independent? Total Total Determine P(). P() . 318 (Round to three decimal places as needed.) Determine P(|). P(|) . 264 (Round to three decimal places as needed.) Are the events "" and "" independent? A. Yes. The occurrence of the event "" affects the probability of the event "." B. No. The occurrence of the event "" affects the probability of the event "." C. No. The occurrence of the event "" does not affect the probability of the event "." D. Yes. The occurrence of the event "" does not affect the probability of the event "."

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warylucknow warylucknow · Answer 1 · 2020-10-13T10:24:03+02:00

Answer:

The probability of selecting a male is 0.3151.

The events "male" and "driver" are not independent.

The correct option is B.

Step-by-step explanation:

The missing data is as follows:

Female Male Total

Driver 32759 11715 44474

Passenger 6534 6361 12895

Total 39293 18076 57369

The complete question is:

Determine P(male) and P(male|driver). Are the events "male" and "driver" independent?

Solution:

Compute the probability of selecting a male as follow:

[tex]P(M)=\frac{n(M)}{N}=\frac{18076 }{57369}=0.3151[/tex]

Thus, the probability of selecting a male is 0.3151.

Compute the probability of selecting a male given that he is a driver as follows:

[tex]P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634[/tex]

Two events, say A and B, are independent if:

P (A|B) = P(A)

Here, P (M|D) ≠ P (M)

Thus, the events "male" and "driver" are not independent.