Test: POST UNIT 3- TEST Ch. 5 This Question: 1 pt 9of15 (0 complete) This Test:

Question

Test: POST UNIT 3- TEST Ch. 5 This Question: 1 pt 9of15 (0 complete) This Test: 15 pts possible Help The dalat nt the number of driving fatalties tor a certan area by age for male and temale drivers Male 252 21-34 12.182 4006 35-54 12.836 4753 5569 5732 2168 (a) What is the probability that a randomly selactad driver falality who was male was 55 to 69 years ok? The probsbility that a randomly selected diver fatalty who was male was 55 to 69 years old is appiroximately Round to tree deoimal places as needed) (b) What s te probability tat a randomly selected driver fataity who was 55 to 69 was male? at a ra do ty selected d ver t talty who was 5 to g was male is a oro mately Rourd to three dea al places The probabiity as needed ) (c) is a victm of a fatal accident aged 55 to 60 more likely to be male or femals? Choose the correct statement belrw A. The driver is more ikely to be female because the probabity is less than 0.5 O B. The driver is more ikely to be male because ele protettty s less than 0 5 O C. The diver is more lkely to be lemale because the probability is greater than 05 O D. The driver is more Ikely to be male because the probablty is greater than 05

Explanation / Answer

The table below gives the Total for each row and column.

(a) Given that the driver was male, he was 55-69 years of Age

Total male drivers = 40498, and male drivers in the age group 55-69 = 5732

Therefore required probability = 5732/40498 = 0.142

(b) Given that the driver was of the age group 55-69, he was male.

Total drivers in age group of 55-69 = 7900, and male drivers in 55-69 age group = 5732

Therefore required probability = 5732/7900 = 0.726

(c) The Total number of drivers in age group 55-69 = 7900

. Males in 55-69 group = 5732 and Females in 55-69 group = 2168

P(Male) = 5732/7900 = 0.726 and P(Female) = 2168/7900 = 0.274

OPTION D: The driver is more likely to be male because his probability is greater than 0.5

Age Male Female Total <16 252 114 366 16-20 6533 2303 8836 21-34 12182 4006 16188 35-54 12836 4753 17589 55-69 5732 2168 7900 >70 2963 1336 4299 Total 40498 14680 55178

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