Download Algebra II Mandatory Review Assignment

Algebra II Mandatory Review Assignment
Name________________________
Test 2-4 (Probability and Statistics)
This assignment MUST be completed prior to taking this proficiency. SHOW WORK
__________________________________________________________________________________________
For 1 – 2, a bag contains 45 red, 20 green, 66 yellow, and 15 purple marbles.
Find each theoretical probability.
1) P(not yellow)
2) P(red or green)
1)________________
2)________________
For 3 – 4, suppose that a dart lands at random on the dartboard shown below.
Find each theoretical probability.
3) The dart scores at least 25 points.
4) The dart scores exactly 10 points.
3)________________
4)________________
For 5 – 6, a standard number cube is tossed. Find each probability.
5) P(odd or less than 5)
6) P(2 or even)
5)________________
6)________________
For 7 – 8, a jar contains 14 blue marbles and 9 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.
7)________________
8) Both of the marbles you select are blue.
8)________________
For 9 – 10, a fruit bowl contains 4 limes, 6 lemons, 3 green apples,
2 red apple and 5 oranges. Suppose you reach into the bowl and
select a piece of fruit at random. Find each probability.
9) P(apple or green)
10) P(green or a citrus fruit)
9)________________
10)_______________
11) Find the mean, median, and mode of the data below.
13, 55, 20, 41, 17, 52, 24, 46, 27, 41, 38, 45, 38, 51
11)
mean_______
median_____
mode_______
12) Find the 1st and 3rd quartiles of the data below.
87, 95, 3, 15, 38, 41, 42, 62, 54, 54, 79, 20, 23, 23, 63, 47, 33, 31
12)
Q1 = ________
Q3 = ________
For 13 – 17, identify the type of sampling used.
13)
Every fifth teenager entering a concert is checked for possession of drugs.
13)_______________
14)
At a local community college, five statistics classes are randomly selected
and all of the students from each class are interviewed.
14)_______________
15)
Thirty-five freshmen, 42 sophomores, 39 juniors, and 29 seniors are randomly
selected from 452 freshmen, 475 sophomores, 517 juniors and 550 seniors at
a certain high school.
15)_______________
16)
An internet poll is conducted by ESPN asking which team is going to win the
World Series this year.
16)_______________
17)
In an effort to identify whether an advertising campaign has been effective,
a marketing firm conducts a nation-wide poll by randomly selecting individuals
from a list of known users of the product.
17)_______________
18)
The following is a probability distribution for race found in a public school
in San Francisco. Fill in the missing probability.
18)_______________
African American
Others
Other Asian
White
Latino
Chinese
.12
.06
.15
.27
.23
19)
Construct a relative frequency distribution and make a relative
frequency histogram for the following situation.
19)
In a classroom, there are 12 freshmen, 11 sophomores,
8 juniors, and 3 seniors.
20) The table below shows the relationship between calories and fat
in nine different hamburgers.
Calories 720
Fat (g)
50
530
33
510
31
500
29
305
17
410
23
440
29
20)_______________
320
16
598
30
Find a linear model where x represents number of calories and y represents
number of grams of fat. Round to two decimal places.
21) The table below gives the stopping distance for an automobile under
certain road conditions.
Speed (mi/h)
30
40
50
60
65
Stopping Distance (ft)
22
44
74
113
136
21)_______________
Find a quadratic model where x represents speed in mi/hr and y represents
stopping distance in feet. Round to two decimal places.
22) The table below gives the number of degrees above room temperature
for a bath after a period of cooling time.
Time (min)
°F Above Room Temperature
0
108
10
77
20
46
30
24
40
14
50
8
22)_______________
60
6
Find an exponential model where x represents time in minutes and
y represents °F above room temperature. Round to two decimal places.
Answers to Mandatory Review Assignment
Test 2-4 (Statistics & Probability)
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
40
or 0.548
73
65
or 0.445
146
9
or 0.5625
16
7
or 0.4375
16
5
6
1
2
63
or 0.249
253
91
or 0.360
253
9
or 0.45
20
9
or 0.9
10
mean = 36.29 median = 39.5 mode = 38 and 41
Q1 = 23
Q2 = 62
Systematic
Cluster
Stratified
Convenience
Simple Random
0.17
y = 0.07x – 6.29
y = 0.04x2 – 0.86x + 9.00
y = 117.00(0.95)x