Honors Algebra 2
Unit 9 Review – Practice Problems
Unit 9 Day 4
1. A carnival game consists of throwing darts at a circular board as shown. What is the
geometric probability that a dart thrown at random will hit the unshaded region?
2. Of the 475 animals at the zoo, 76 of them have wings. What is the theoretical probability that an animal
at the zoo has wings?
3. Which is an outlier for this data set: 22, 35, 12, 28, 46, 30, 31, 15, and 19
4. The frequency table shows the number of textbooks in several students’ book bags.
a. What is the mean?
b. What is the median?
c. What is the mode?
5. What is the theoretical probability of pulling a black jack from a standard deck of cards?
6. Mark and Carter are sharing a bag of M&M’s. If there were originally 3 red, 8 blue, 7 green, 4 yellow,
and 9 brown M&M’s in the bag, what is the theoretical probability that Carter will first eat a blue one?
7. The ratings of athletes attending a training camp are distributed normally. If 170 athletes’ ratings fall
within 1 standard deviation of the mean, how many athletes were rated at the camp?
8. The amount of money spent per person at the state fair is distributed normally, with a mean of $32 and
a standard deviation of $3.75. If 1200 people attend the fair, how many people would you expect to
spend between $24.50 and $35.75?
9. What are the mean, standard deviation, and variance for the data set: 5, 8, 12, 15, 17, 12, 14, and 7?
10. Find the experimental probability of each event:
a. A goal by a soccer player who made 2 of 5 shots on goal
b. A glass broken by a dishwasher who broke 3 of 25 glasses
11. Find the mean, median, and mode of the following set of data:
a.
mean:__________
b.
median:__________
c.
mode:__________
12. Calculate the mean, variance, and standard deviation of the following data set:
a.
mean:__________
b.
standard deviation:__________
c.
variance:__________
13. The mean number of hits for the batters on a baseball team is 124, and the standard deviation is 14.5.
Sketch a normal curve that represents the data.
a.
What percent of the batters have between 95 and 124 hits?
b. What percent of batters have been 80.5 and 153 hits?
c. If the team has 30 batters, how many have at least 124 hits?
d. How many 153 hits or more?
14. You got an A on 6 of your last 18 quizzes. What is the probability that you will get an A on your next
quiz?
15. Your friend ran more than 10 mi on 3 of her last 15 runs. What is the probability she will
run more than 10 mi on her next run?
Find the theoretical probability.
16. A jar holds 6 blue blocks, 8 red blocks, 10 green blocks, 2 yellow blocks, and 4 black blocks.
a. P(blue)
b. P(red or green)
17. Your classmate rolls a pair of fair number cubes. What is the theoretical probability that he
will roll doubles (two of the same number)?