Question

The data on the right represent the number of traffic fatalities by seat location and gender. Determine P(male) and P(male passenger). Are the events "male" and "passenger" independent? Female Male Total Passenger 32,958 11,996 44,954 Driver 6,471 6,239 12,710 Total 39,429 18,235 57,664 Determine P(male). P(male) (Round to three decimal places as needed.) Determine P(male passenger). P(male passenger) = 0 (Round to three decimal places as needed.) Are the events "male" and "passenger" independent? O A. Yes. The occurrence of the event "passenger" affects the probability of the event "passenger." OB. No. The occurrence of the event "passenger" affects the probability of the event "male." OC. No. The occurrence of the event "passenger" does not affect the probability of the event "male." OD. Yes. The occurrence of the event "passenger" does not affect the probability of the event "male."

Answer 1

P(male) and P(male passenger) are probabilities calculated using the number of males and male passengers respectively, divided by the total number of individuals. To determine independence, we need to check if the probability of a male passenger equals the product of the probabilities of being male and being a passenger.

Step-by-step explanation:

To calculate P(male), we need to find the probability of a person being male in the given data. The total number of males is given as 18,235, while the total number of individuals is 57,664. Therefore, using the formula for probability, P(event) = Number of favorable outcomes / Total number of outcomes, we get P(male) = 18,235 / 57,664.

For P(male passenger), we look at the number of male passengers (11,996) and divide it by the total number of individuals (57,664). Thus, P(male passenger) = 11,996 / 57,664.

Whether the events 'male' and 'passenger' are independent can be determined by checking if P(male passenger) = P(male) P(passenger). If this is true, they are independent. If not, they are not independent.