Download Unit 8 Review Packet

Algebra 2B
Unit 8 Review Packet
Name: _____________________________________
Section 0.4
1. How many different license plates are possible if two digits are followed by three letters, if digits and letters can be repeated?
a) 876,450
b) 1,404,000
c) 1,757,600
d) 12,647,200
2. John is getting his ATM card activated. He must select a password containing 4 nonzero digits to be able to use the card. How many
passwords are allowed if no digit may be used more than once?
a) 3,024
b) 5,040
c) 6,561
d) 30,240
3. Tina has to create a password for the security of a software program file. She wants to use a password with 3 letters. How many
passwords are allowed if no letters are repeated and the password is not case sensitive?
a) 13,800
b) 15,600
c) 17,757
d) 46,800
4. In how many ways can 8 different books be arranged over one another if one of the books is an encyclopedia and it must be on the
second position from the top?
a) 720
b) 2,520
c) 5,040
d) 40,320
5. In how many ways can 6 members of a dance group in different colored costumes be made to stand in a line if the first person is in a
yellow costume?
a) 24
b) 120
c) 720
d) 3,125
6. In an activity club with 30 students, the offices of president, vice president, and treasurer will be filled. In how many ways can the
offices be filled?
a) 30
b) 90
c) 4,060
d) 24,360
7. In how many ways can a 7 person committee be chosen from a group of 10 people?
a) 120
b) 1,260
c) 12,600
d) 604,800
8. A movie theater has 14 different movies showing. If you wanted to attend 3 of the movies, how many different combinations of
movies can you attend?
a) 142
b) 364
c) 469
d) 15,915
9. Find the number of 5 card hands drawn from a standard deck that contain 4 diamonds and 1 black card.
a) 8
b) 338
c) 741
d) 18,590
Section 0.5
10. Suppose that of 50 students, 18 sing in the school choir, 29 play in the school band, and 14 both sing in the choir and play in the
band. What is the probability that a student selected at random sings in the school choir or plays in the school band?
a) 0.66
b) 0.94
c) 0.62
d) 1.22
11. A letter is selected at random from the world MATHEMATICS. Find the probability of selecting a vowel.
a) 0.4
b) 0.455
c) 0.5
d) 0.364
12. Suppose a card is drawn at random from a standard deck of cards. What is the probability of drawing a red card or an ace?
a) 0.288
b) 0.326
c) 0.538
d) 0.577
13. Suppose 1,400 students are surveyed about their course selections. There are 600 who take Spanish, 550 who take Biology, and
200 who take both Biology and Spanish. What is the probability that a student takes Biology or Spanish?
a) 0.179
b) 0.679
c) 0.821
d) 0.964
14. Which of the following events are mutually exclusive when choosing one card from a standard deck of cards?
a) Choosing an Ace or a Spade.
b) Choosing a red card or an 8.
c) Choosing a face card or a 7.
d) Choosing a face card or a queen.
15. The probability of event A happening is 0.43. The probability of event B happening is 0.48. The probability of event A or event B
happening is 0.61. What is the probability of event A and event B happening?
a) 0.91
b) 0.08
c) 0.21
d) 0.30
1
. He decides to roll the die 10 more times. In the first 9
6
trials, he rolls a 5 six times. What is the probability that the 10 th roll will be a 5?
16. Phillip rolls a die 100 times, and finds the probability of rolling a 5 is
1
2
5
c) The probability of rolling a 5 is
9
a) The probability of rolling a 5 is
b) The probability of rolling a 5 is 1
d) The probability of rolling a 5 is
1
6
Section 0.6
17. A bag contains 6 red, 7 brown, and 4 yellow marbles. Once a marble is selected, it is not replaced, find P(red, then yellow).
a) 0.083
b) 0.588
c) 0.603
d) 0.088
18. A die is rolled and a card is drawn from a standard deck of 52 cards, find P(rolling an even and jack).
a) 0.01
b) 0.038
c) 0.577
d) 0.115
19. Two cards are drawn from a standard deck of 52 cards, without replacement. What is the probability of drawing two queens?
a) 0.006
b) 0.004
c) 0.005
d) 0.136
20. Two cards are drawn from a standard deck of 52 cards, with replacement. What is the probability of drawing a ten, then a face
card?
a) 0.018
b) 0.016
c) 0.044
d) 0.308
21. There are 5 pennies, 7 nickels, and 9 dimes in a change purse. Suppose 2 coins are selected at random. Find the probability of
selecting 2 pennies if the first coin is replaced before the second coin is chosen.
a) 0.0595
b) 0.0476
c) 0.0454
d) 0.0567
22. What is the probability of tossing tails on a coin three times in a row?
a) 0.25
b) 0.5
c) 0.125
d) 0.0625
23. Two cards are randomly drawn from a standard deck of 52-playing cards without replacement. What is the probability of drawing
a 2 and then a face card?
a) 0.0181
b) 0.0178
c) 0.0089
d) 0.0090
Section 11.1
24. Identify the biased survey question.
a) How much time do you spend each day on your smartphone?
b) Are you voting “yes” on issue 1?
c) Do you prefer comedies or dramas?
d) How much hours do you sleep each night?
25. A research company wants to test the claim that pretreating grass-stained clothes with Brand A Stain stick eliminates grass stains.
The company divides the clothes into two groups, one group consists of grass-stained clothes pretreated with Brand A Stain stick and
then washed with Brand A Detergent in warm water, and the control group consists of clothes with grass stains washed with Brand A
Detergent in warm water. What type of study is this?
a) Experiment
b) Observational study
c) Survey
d) Voluntary Response
26. The school administrators want to start an after-school tutoring program. They send a questionnaire to 100 students randomly
selected from those who had a grade-point average less than 2. 75. What is the sample in this study?
a) The high school administrator
b) The grade point average
c) The 100 randomly selected students
d) All students with a grade point average less than 2.75
27. The management of a restaurant with locations all over the country has developed a new hamburger that researchers
believe will sell better than the hamburger that is currently sold. Which of the following is the best way to perform a
randomized experiment with the goal of determining if this new hamburger will sell better than the hamburger that is
currently sold?
a) Randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the
current hamburger, and start selling the new hamburger to see if sales increase.
b) Have all the company's restaurants throughout the country stop selling the current hamburger and start selling the new
hamburger to see if sales increase.
c) Randomly select 40 restaurants let each one decide if it wants to sell the new hamburger, and compare sales in those
restaurants to sales in the restaurants that chose not to sell the new hamburger.
d) Have all the restaurants in the western part of the country stop selling the current hamburger and start selling the new
hamburger to see if these restaurants' sales are higher than the restaurants in the eastern part of the country that continue selling
the current hamburger.
28. The table displays the population of California (CA) and New York (NY).
Which statement is supported by the data from 1950 to 1990?
a) The population of California will continue to increase.
b) New York had a higher average population than California in 1980.
c) New York’s population was 30% greater than California’s population in 1950.
d) California’s population range is more than four times New York’s population range.
Section 11.2
29. The number of tickets sold for each event at a concert venue are 319, 501, 366, 648, 413, 371, 468, 399, 711, 412, 679, 702, 575,
442, 324, 578. Describe the center and spread of the data using either the mean and standard deviation or the five-number summary.
a) The data are symmetric. The range of ticket sales are from 319 to 711. The median is 455 and half of the ticket sales are between
385 and 613.
b) The data are skewed. The range of ticket sales are from 319 to 711. The median is 455 and half of the ticket sales are between 385
and 613.
c) The data are skewed. A mean of 495.25 tickets were sold with a standard deviation of about 132 tickets.
d) The data are symmetric. A mean of 495.25 tickets were sold with a standard deviation of about 132 tickets.
30. Darren and Reggie compared their times (in seconds) in the 40-meter dash. Compare the distributions using either the means
and standard deviations or the five-number summaries.
4.9
5.3
5.0
5.0
5.1
5.3
Darren’s Times
5.0
5.1
5.2
5.2
4.9
5.1
5.2
5.0
5.1
5.1
4.9
5.2
4.6
4.7
4.5
4.7
4.8
4.7
Reggie’s Times
4.6
4.7
4.7
4.6
4.6
4.8
4.8
4.9
4.9
4.6
4.7
4.6
a) Both distributions are skewed. Reggie's median time is lower than Darren's by two tenths of a second. The distributions have
identical ranges.
b) Both distributions are symmetric. Reggie's median time is lower than Darren's by two tenths of a second. The distributions
have identical ranges.
c) Both distributions are skewed. Reggie's mean time is lower than Darren's by almost four tenths of a second. The distributions
have almost identical standard deviations.
d) Both distributions are symmetric. Reggie's mean time is lower than Darren's by almost four tenths of a second. The
distributions have almost identical standard deviations.
31. Describe the center and spread of the data using either the mean and standard deviation or the five-number summary:
{9, 9, 8, 16, 22, 14, 8, 21, 11, 9, 7, 6, 17, 9}
a) Mean = 11.9; and sd = 5.0
b) Mean = 11. 9; and sd = 5.2
c) Median = 9; range: 6 to 22
d) Median = 9; range: 8 to 16
32. A random sample of 30 students was taken. Each dot represents the score on a first quiz in the Algebra 2 class. Which statement
best describes why using the give number summary would be an appropriate way to analyze the data?
a) The distribution of the sample is symmetric.
b) The mean of the sample will be larger than the median.
c) A sample size of 30 is too large to estimate a population proportion.
d) The distribution of the sample is negatively skewed.
33. A random sample of 100 dice rolls was taken. Each dot represents the results of rolling a pair of fair, six-sided dice and finding the
sum of the up-faces. Which statement best describes why using the five number summary would NOT be an appropriate way to
analyze the data?
a) The distribution of the sample is symmetric.
b) The mean of the sample will be less than the median.
c) A sample size of 100 is not large enough to estimate a population
proportion.
d) The distribution of the sample is positively skewed.