2) The following data show the colour of car driven and the colour of shoes worn by
professors as they park on campus at a theoretical school on a particular day (assume that
on this day, every professor drove a car to school, every professor wore shoes, and every
professor agreed to participate in this study):
Shoe Colour
Car Colour
Black White Grey/Silver Blue Red Other
11
4
5
2
4
10
2
3
4
3
2
0
Black 23
White
7
Brown 10
Other
2
5
0
0.
2
1
a) How many professors both drove a red car and wore brown shoes?
b) How many professors wore white shoes?
c) What proportion of professors drove a black car?
6
5
7
d) What percentage of professors both drove a white car and wore black shoes?
e) A student hypothesizes that the majority of professors drove either a black or white
car and wore either black or white shoes. Is this student correct?