Question

a survey of autos parked in student and staff lots at a large university classified the brands by country of origin, as seen in the table. complete parts a through f below

origin	student	staff
european	31	13
asian	55	49

a) what percent of all the cars surveyed were foreign?
41.2 %
(round to one decimal place as needed.)

b) what percent of the american cars were owned by students?
49.8 %
(round to one decimal place as needed.)

c) what percent of the students owned american cars?
55 %
(round to one decimal place as needed.)

d) what is the marginal distribution of origin?

origin	marginal
european	□%
asian	□%

(round to one decimal place as needed.)

Explanation:

Step1: Calculate total number of cars

First, find the total number of cars by summing all the values in the table.
Total = (105 + 106) + (31 + 13) + (55 + 49) = 211 + 44 + 104 = 359.

Step2: Calculate marginal for American

Number of American cars: 105 + 106 = 211.
Percent for American: $\frac{211}{359} \times 100 \approx 58.8\%$.

Step3: Calculate marginal for European

Number of European cars: 31 + 13 = 44.
Percent for European: $\frac{44}{359} \times 100 \approx 12.3\%$.

Step4: Calculate marginal for Asian

Number of Asian cars: 55 + 49 = 104.
Percent for Asian: $\frac{104}{359} \times 100 \approx 28.9\%$.

Answer:

Origin	Marginal
European	12.3%
Asian	28.9%