CH. 11 Test Study Guide

CH. 11 Test Study Guide
Name__________________________________
Algebra 2 – Mr. Flood
Period __________________________
Evaluate the expression.
1) 6!
3)
7
2)
11
P9
C3
4) A salad bar offers eight choices of toppings for a salad. In how many ways can you choose four
toppings?
5) 20 people buy raffle tickets. The first ticket receives $10, the second receives $5, and the third
receives $1. In how many different ways can you draw three winning tickets?
6) A bag contains 10 blue marbles, 5 red marbles, 7 green marbles, and 3 black marbles. You pick one
from the bag at random. Find the theoretical probability of the following…
a) P(green)
b) P(not red)
c) P(green or blue)
7) You flip a coin 40 times and it landed on tails 24 times. What is the experimental probability of
flipping a tails?
8) About 30% of the population is under 20 years old. About 17% of the population is over 60. What is
the probability that a person chosen at random is under 20 or over 60?
9) Two fair number cubes are rolled. State whether the events are mutually exclusive. Explain why or
why not.
The sum is a prime number; the sum is less than 4.
10) 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 selecting a blue marble AND then a red marble.
Use the table to answer the conditional probability questions #11-12.
Hardback
Illustrated
420
590
150
110
Fiction
Non-fiction
Fiction
Non-fiction
Paperback
Non-Illustrated
780
250
430
880
.
11) What is the probability that a book selected at random is a paperback, given that it is illustrated?
12) What is P(nonfiction | non-illustrated hardback)?
13) A class of 25 students wants to choose 3 students at random to bring food for a class party. The
students line up alphabetically, and each one in succession flips a fair coin. The first three students to
flip heads bring the food. Is this a fair decision? Explain why or why not.
14) Create a box and whisker plot for the following data for water temperatures each month in St.
Petersburg, Florida.
Jan
62
Feb
64
Mar
68
Apr
74
May
80
Jun
84
Jul
86
Aug
86
Sep
84
Oct
78
Nov
70
Dec
64
15) For question #14, what is the range? What is the mean?
Range =______________
Mean = ________________
16) For 2001, the farm incomes of which states are not within one standard deviation of the mean?
17) A set of data has a normal distribution with a mean of 29 and a standard deviation of 4. Draw a
picture of the normal curve with 3 standard deviations above and below the mean. Find the percent of
data that falls from 25 to 33.