Math 110 Finite Math Final Exam Prof. Brick
section 51 Summer ’03
Do the problems in order in your bluebook. Show your work.
1. A coin is flipped three times. Let Bbe the event that you get heads
at least once and Ais the event that your first flip is tails. Find P(A|B),
indicating the sample space used.
2. Give an example of an uncountable set. (Recall that uncountable means,
among other things, that you cannot write down a list of the elements.)
3. A survey shows that 45%±3% of all students like coffee in the morning. If
the level of confidence is 90%, determine how many students were surveyed.
4. Use a Venn diagram to determine if the following is a valid syllogism:
All tasty food is expensive.
Hamburgers are not expensive.
Therefore, hamburgers are not tasty food.
5. Your weekly sales commission varies. Fifteen percent of the time it is
$200. Thirty percent of the time it is $20. And the rest of the time it is
$10. Find your expected commission.
6. Use a truth table to determine the validity of the argument: “If you
enjoy math then you will pass this class. If you don’t work hard then you
will not pass this class. Therefore, if you enjoy math then you will work
hard.”
7. You are dealt 3 cards. Find the probability of getting all cards of the
same suit but not all of numeric value 10 (tens, jacks, queens and kings).
8. You roll two dice. Determine whether the events “the sum is even” and
“the sum is 9 or larger” are independent or dependent.
9. Draw and label three (numerical) histograms: a frequency histogram,
a relative frequency histogram, and a relative frequency density histogram
