Problem 2. Use the following table showing the number of female and male drivers

Question

Problem 2. Use the following table showing the number of female and male drivers and the primary type of car that they drive (sedan, SUV/minivan, truck, other) to answer the problem number 2 (a - d). Note: you should round all answers to 3 decimal places

Male       Female

Sedan 293    208

SUV/Minivan    304 307

Truck    59 62

Question 26 (6 points)

2. (a) (6 points) What is the proportion of females who drive trucks? Round your answer to three decimal places.

2.(b) (6 points) What is the proportion of all drivers who are female and drive trucks?

2. (c) (6 points) What proportion of truck drivers are female?

2.(d) (6 points) What is the proportion of all drivers who drive trucks?

Explanation / Answer

2 a) Proportion of females who drive trucks = 62/(208 + 307 + 62) = 62/577 = 0.107

b) Proportion of all drivers who are female and drive trucks = 62/(293 + 304 + 59 + 208 + 307 + 62) = 62/1233 = 0.050

c) Proportion of truck drivers who are female = (208 + 307 + 62)/(293 + 304 + 59 + 208 + 307 + 62) = 577/1233 = 0.468

d) Proportion of all drivers drive truck = (59 + 62)/(293 + 304 + 59 + 208 + 307 + 62) = 121/1233 = 0.098

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