Help with Stat quiz.
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quiz_1_umuc_1.docxSTAT 230 QUIZ 1 Material on Chapters 1, 2 and 3
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?
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?
13. What percentage of starting salaries is below $24,000?
14. A recent college graduate that is at the 84th percentile in salary earns approximately how much?
15. What is the median starting salary?
