Algebra 2 Quiz 12.1, 12.2, 9.7
Name ___________________________________
In a poll, gymnasts were asked, “How many seconds long was your longest handstand on the balance beam?
Use the results below for Questions 1 and 2.
Duration (seconds)
Number of Respondents
0-2 (A)
14
3-5 (B)
27
6-10 (C)
19
11-20 (D)
18
21-30 (E)
13
31-60 (F)
15
>60 (G)
24
Total
130
1. Find the probability of each group and graph the probability distribution.
2. Find P(6 – 30) seconds.
The table at the right shows the results of a survey about
teachers and students playing the Settlers of Catan.
3. P(teacher | yes)
4. P(no | teacher)
5. P(student | no)
Teachers
Students
Yes
12
45
No
20
23
6. At a restaurant, customers get to choose one of four vegetables with any main course. About 33% of the
customers choose green beans, and about 28% choose spinach. What is the probability that a customer will choose
beans or spinach?
A jar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not
replace it. Then you choose a second marble. Find the probability of each event.
7. You select a blue marble and then a red marble.
8. Both marbles are red.
9. Expand (a + b)4
10. Expand (x – 2)3