This is a binomial distribution. Let X be the number of trucks that do NOT pass inspection. Then for ten trucks we have:
a) We need to find P(X=10):
b and c are pretty much the same, just set X=0 and X=2, respectively.
d) This one's a little different. We need to find P(X>3). This is equivalent to . The latter is easier to calculate so let's do that one.
From here just plug in the appropriate values in the formula and you'll get your answer.
e is pretty similar to d, just find P(X<2)=P(X=0)+P(X=1)