Questions
1 through 5 involve rolling of dice.
1. Given
a single fair, six-sided die, what is the probability of rolling the die twice
and getting a “5” each time?
2. What
is the probability of getting a “5” on the second roll when you get a “5” on
the first roll?
3. Suppose
you roll two die at the same time. What is the probability of rolling a sum of
“6”?
4. If you rolled a single die 52 times and
recorded the number of times you rolled a 2, how many 2s would you expect
to get?
5. Suppose you roll two
die at the same time. What is the probability you roll a “3” on one of the die
AND a “4” on the other?
Use the
data below to answer Questions 6 through 11.
The
following frequency table characterizes Titanic passengers by class and whether
they were rescued or lost at sea.
|
|
Rescued
|
Lost
|
Total
|
|
First Class
|
203
|
122
|
325
|
|
Second Class
|
118
|
167
|
285
|
|
Third Class
|
178
|
528
|
706
|
|
Crew
|
212
|
673
|
885
|
|
Total
|
711
|
1490
|
2201
|
6. What is the probability a
randomly selected passenger is a First class passenger?
7. What is the probability a passenger is rescued
given that the passenger is a Crew member?
8. What is the probability a passenger is
rescued given that the passenger is a First Class passenger?
9. Given that the passenger
is rescued, what is the probability that passenger is First OR Second Class?
10. What is the probability that
a passenger is Third Class OR Rescued?
11. What is the probability
that a passenger is Third Class AND Rescued?
Suppose
a dataset of recent college graduate starting salaries is normally distributed
with a mean of $45,000 and a standard deviation of $7,000. Use the Empirical
Rule to answers questions 12 – 15.
12. What percentage of starting salaries is above $31,000?
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