OCS - Intermediate Algebra - Chapter 11 Study Guide
1. Evaluate
.
2. Suppose Q and R are independent events. Find P(Q and R).
P(Q) = 0.39, P(R) = 0.85
3. This is a spinner used in a board game. What is the probability that the spinner will land on a multiple of 3
and 4?
4. A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are
possible for a single serving of frozen yogurt with one topping?
5. In how many ways can 12 basketball players be listed in a program?
6. What is the theoretical probability of being dealt exactly three 4's in a 5-card hand from a standard 52-card
deck?
7. Make a box-and-whisker plot of the data. Average daily temperatures in Tucson, Arizona, in December:
67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63
8. Evaluate
.
9. Each person in a group of students was identified by year and asked when he or she preferred taking classes:
in the morning, afternoon, or evening. The results are shown in the contingency table. Find the probability
that the student preferred afternoon classes given he or she is a junior. Round to the nearest thousandth.
When Do You Prefer to Take Classes?
Freshman
Sophomore
19
2
Morning
17
3
Afternoon
8
14
Evening
Junior
6
13
9
Senior
16
15
7
10. The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What
percent of the scores are less than 81?
11. If all possible results are equally likely, what is the probability that a spin of the spinner will land on an upper
case letter or a consonant?
12. Lynn and Dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of
tossing heads using Lynn and Dawn’s results?
13. Find the mean, median, and mode of the data set. Round to the nearest tenth. 2, 10, 6, 9, 1, 15, 11, 10, 15, 13,
15
14. On St. Patrick’s Day, you took note of who was coming into your restaurant wearing green. What is the
probability that someone was wearing green given that the customer is female?
Wearing Green
Not Wearing Green
56
70
Male
29
83
Female
15. What are the mean, variance, and standard deviation of these values? Round to the nearest tenth.
53
51
48
49
37
5.4
3.4
0.4
1.4
–10.6
29.2
11.6
0.2
2
112.4
16. Find the values of the 30th and 90th percentiles of the data.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
The bar graph shows the rents paid per month for apartments in an urban neighborhood. The curve
shows that the rents are normally distributed.
45
% of Respondents
40
35
30
25
20
15
10
5
9
9
49
0
49
-69
-74
60 00-6
0
0
$
$7
5
0
<
6
6
7
>
$
$
$
Rent
17. Estimate the percent of apartment residents who pay from $700 to $749 per month.
18. Find the outlier in the set of data. 17, 13, 16, 18, 38, 14, 21, 24
19. A jar contains 7 blue cubes, 4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at
random, what is the probability that the object is green or a cube?
20. If a dart hits the target at random, what is the probability that it will land in the shaded region?
Area of Circle Formula:
12 in.
3 in.
Drawing not to scale
OCS - Intermediate Algebra - Chapter 11 Study Guide
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11-1 Permutations and Combinations
11-3 Probability of Multiple Events
11-2 Probability
11-1 Permutations and Combinations
11-1 Permutations and Combinations
11-2 Probability
11-6 Analyzing Data
11-1 Permutations and Combinations
11-4 Conditional Probability
11-10 Normal Distributions
11-3 Probability of Multiple Events
11-2 Probability
11-6 Analyzing Data
11-4 Conditional Probability
11-7 Standard Deviation
11-6 Analyzing Data
11-10 Normal Distributions
11-6 Analyzing Data
11-3 Probability of Multiple Events
11-2 Probability