1. Algebra 2/Trig Name: _________________________
Two Way Tables & Probability Homework Date: __________________________
Directions: Complete each problem. Read carefully and show all work. Round all percents to the nearest tenth. For Example: 43.6%.
1) A survey 990 students about their favorite movie genre. The results are shown below separated by grade level.
Drama
Comedy
Sci-Fi
Total
9th 70 82 98
250
10th 84 80
101
265
11th 60 95 85
240
12th 52 73
110
235
266
330
394
990
A) What percent of students selected comedy?
B) What percent of students are in tenth grade?
C) Of the tenth grade students, what percent selected comedy?
D) Of the students who selected comedy, what percent are tenth graders?
E) What percent of all students are tenth graders and selected comedy?
F) What percent of all students are tenth graders or selected comedy?
G) Which grade is most likely to select Drama? Why?
H) What percent of 12th graders picked a genre other than Sci-Fi?
2) The following table compares the daily forecast with a city’s actual weather for a year.
Fill in the missing pieces of the table.
B) On what percent of days did it actually rain?
C) On what percent of days was rain predicted?
D) What percent of the time was the forecast correct?
Actual Weather
Rain
No Rain
Total
Forecast 27 63 7
268

2. Brown Eyes Blue Eyes Total Male 4 24 Female 80 20
3) For a statistics project a student surveyed students at random at his school. Some of the data collected involved the categorical variables of eye color and gender. He began summarizing some of the data in the two-way table shown below.
A) Fill in the missing pieces of the two-way table.
B) How many total students are represented in the two-way table?
C) What percent of students surveyed have brown eyes?
D) What percent of students surveyed are male?
E) What percent of students surveyed are male and have brown eyes?
Brown Eyes
Blue Eyes
Total
Male 4 24
Female 80 20
F) A student who is surveyed is picked at random who is female, what is the probability that they have blue eyes?
G) A student who is surveyed is picked at random, what is the probability that they are female?
The GfK Custom Research of North America conducts a yearly survey on consumer attitudes worldwide. They collect demographic information on the roughly 1500 respondents from each country that they survey. Here is a table showing the number of people with various levels of education in five countries.
Post-graduate
College
Some high school
Primary or less
No answer
Total
China 7
315
671
506 3
1502
France 69
388
766
309
1539
India
161
514
622
227 11
1535
U.K. 58
207
1240 32 20
1557
USA 84
486
896 87 4
379
1910
4195
1161 45
7690
If we select someone at random from this survey,
A) What is the probability that the person is from the United States?
B) What is the probability that the person completed his or her education before college?
What is the probability that the person is from France or did some post-graduate study?
What is the probability that the person is from France and finished only primary school or less?