Question

A Show Work & The data represent the number of driving fatalities for a certain area by age for male and female drivers. Male Female under 16 213 115 16-20 5656 2393 21-34 12 205 4010 35-54 14,170 5035 55-694756 2480 70 and over 2955 1760 (a) What is the probability that a randomly selected driver fatality who was male was 16 to 20 years old? The probability that a randomly selected driver fatality who was male was 16 to 20 years old is approximately (Round to three decimal places as needed.) (b) That is the probability that a randomly selected driver fatality who was 16 to 20 was male? The probability that a randomly selected driver fatality who was 16 to 20 was male is approximately (Round to three decimal places as needed) Enter your answer in each of the answer boxes.

Answer 1

For this question, we need to first find the total number of people in the data as show below

We find the total column wise and row wise as shown below.

a. The probability that a randomly selected driver who was male was 16 to 20 years old

Male Female under 16 213 115 16-20 5656 2393 21-34122054010 35-54 14170 5035 55-69 4756 2480 70 and over 2955 1760 Total 3995515793 Total 328 8049 16215 19205 7236 4715 55748

P(16 to 20 | male) = n( driver who are male and 16 to 20 years old)/n(male drivers) = 5656/39955 = 0.1415593

explanation : We need to find the probability of a driver who is 16 to 20 years old given that is a male. Hence we need to use conditional probability as shown above.

b. The probability that a randomly select driver who was 16 to 20 was male

P( male|16 to 20 ) = n( driver who are male and 16 to 20 years old)/n(16 to 20 drivers) = 5656/8049 = 0.702696

explanation : We need to find the probability of a driver who is a male given that he is 16 to 20 years old . Hence we need to use conditional probability as shown above.