2. Recent polls suggest that about 13% of adults would say they are afraid of heights. Suppose this percentage is true for
all adults. Assume responses from different individuals are independent.
(a) What is the probability of having 3 randomly selected adults all say that they are afraid of heights?
(b) What is the probability of having none of the 3 randomly selected adults say that they are afraid of heights?
(c) What is the probability of having at least 1 of the 3 randomly selected adults say that they are afraid of heights?
3. Your student email account requires you to choose a password of 4 letters followed by 1 of the digits 0-9. The
password can consist of capital letters (26) or lower-case letters (26). How many different five-character passwords
can be created?
4. At a swim meet, 8 different swimmers compete in the 800-meter freestyle race. How many different ways are there
for these swimmers to finish?