Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing. Assuming the bad chips are independent, find the probability of each of the following.
a) The fifth chip they test is the first bad one they find.
b) They find a bad one within the first 10 they examine.
c) The first bad chip they find will be the fourth one they test.
d) The first bad chip they find will be one of the first three they test.