(b)
Assuming the card selection is with replacement.
4. There are 1000 students in a high school. Among the 1000
students, 250 students take AP Statistics, and 300 students take AP
French. 100 students take both AP courses. Let S be the event that
a randomly selected student takes AP Statistics, and F be the event
that a randomly selected student takes AP French.
Show all work.
Just the answer, without supporting work, will receive no credit.
(a) Provide a written description of the complement event of (S OR
F).
(b) What is the probability of complement event of (S OR F)?
5. Consider rolling two fair dice. Let A be the event that the sum of
the two dice is 8, and B be the event that the first one is a multiple
of 3.
(a)
What is the probability that the sum of the two dice is 8 given
that the first one is a multiple of 3?
Show all work. Just the
answer, without supporting work, will receive no credit.
(b)
Are event A and event B independent? Explain.
6. Answer the following two questions. (
Show all work. Just the
answer, without supporting work, will receive no credit).
(a) UMUC Stat Club is sending a delegate of 2 members to attend the 2018 Joint Statistical Meeting in Vancouver, Canada. There are 10 qualified candidates. How many different ways can the delegate be selected?

7. Assume random variable
x
follows a probability distribution
shown in the table below. Determine the mean and standard
deviation of
x
.
Show all work. Just the answer, without supporting
work, will receive no credit.

#### You've reached the end of your free preview.

Want to read all 5 pages?

- Summer '14
- Statistics and Probability, Normal Distribution, Standard Deviation, Probability theory, UMUC, University Of Maryland