Download 3.1-3.3-review - Bryant Middle School

Statistics
3.1-3.3 Review
Name: ________________________________
1. If one card is drawn at random from a standard deck of 52 cards, what is the probability of
drawing a red card? What is the complement of the event ‘drawing a red card’?
2. A study of 500 randomly selected light bulbs showed that 13 were defective. What is the
probability of a light bulb not being defective?
For 3 and 4, decide if events A and B are mutually exclusive or not mutually exclusive.
3. Rolling a die.
4. Rolling a die.
Event A: the number is odd
Event A: the number is prime
Event B: the number is even
Event B: the number is even
100 people were asked “Do you favor the death penalty?” The responses are below. Use the
contingency table to answer questions 5 – 10.
Yes
No
Total
Male
14
6
20
Female 19
61
80
Total
33
67
100
5. What is the probability that a randomly selected person was female?
6. What is the probability that a randomly selected person voted no?
7. Given that a person voted yes, what is the probability that they are male?
8. What is the probability that a person chosen at random voted no and is a female?
9. What is the probability that a person chosen at random voted yes or is a female?
10. Are the events “voting yes” and “being male” dependent or independent? Show your work!
11. The state of Maine’s license plate for motorcycles consists of 3 alphabet letters and 2 digits. If
any number can be repeated, but the letters O and I are not used, how many different license plates
can be created?
12. Give an example of subjective probability.
13. The distribution of Master’s degrees conferred by a university is listed in the table below.
What is the probability that a randomly selected student graduating with a Master’s degree has a
major that is not in Mathematics?
Major
Mathematics
English
Engineering
Business
Education
Frequency
206
212
78
182
253
In questions 14 and 15, classify the given statement as an example of classical (theoretical),
empirical (statistical), or subjective probability:
1
14. “The probability of rolling a 5 on a six-sided die is ”
6
15. “Studies have shown that the probability of a plane-bird collision for any flight is 0.3%.”
Are the two events dependent or independent in questions 16 and 17?
16. Flipping a coin a getting “tails”, then flipping it again and getting “heads”.
17. Drawing a Queen from a deck of cards, not replacing it, and then drawing another Queen from
the same deck.
A group of college students were asked if they smoke. The responses are listed in the table.
Use the table for questions 18 - 22.
Class
Freshman
Sophomore
Total
Non-smoker
44
34
78
Smoker
16
6
22
Total
60
40
100
18. Find the probability that a student chosen at random is a smoker.
19. If a student is selected at random, find the probability that the student is a non-smoker or a
sophomore.
20. If a student is selected at random, what is the probability that he or she is a sophomore given
that the student is a non-smoker?
21. If a student is selected at random, what is the probability that the student is a smoker and
sophomore?
22. Are the events being a non-smoker and being a freshman dependent or independent? Show
your work!