Answer
The results of this survey contradict those of DuPont.
Work Step by Step
Use Excel: "=BINOMDIST(16;175;0.06;TRUE)"
$P(X\lt17)=0.9652$
The probability that $X\geq17$ is the complement of the probability that $X\lt17$
Using the Complement Rule (see page 275):
$P(X\geq17)=1-P(X\lt17)=1-0.9652=0.0348$
$P(X\geq17)\lt0.05$. This means that it is unusual to obtain a sample in which 9.7% of cars are red.
