Question
Question 1: How are your grades? In a recent semester at a local university, 600 students enrolled in both Statistics I and Psychology I. Of
Question 1:
How are your grades? In a recent semester at a local university, 600 students enrolled in both Statistics I and Psychology I. Of these students, 70 got an A in statistics, 79 got an A in psychology, and 42 got an A in both statistics and psychology. Round the answers to four decimal places, as needed.
(a) Find the probability that a randomly chosen student got an A in statistics or psychology or both.
Part 1:
The probability that a randomly chosen student got an A in statistics or psychology or both is blank.
Part 2:
(b) Find the probability that a randomly chosen student did not get an A in psychology.
The probability that a randomly chosen student did not get an A is psychology is blank.
Question 2:
Let's eat: A fast-food restaurant chain has 586 outlets in the United States. The following table categorizes them by city population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 586 to test market a new menu. Round your answers to four decimal places.
Population of City | Region | |||
NE | SE | SW | NW | |
Under 50,000 | 32 | 38 | 16 | 3 |
50,000500,000 | 65 | 86 | 71 | 28 |
Over 500,000 | 145 | 20 | 29 | 53 |
(a) Given that the restaurant is located in a city with a population over
500,000, what is the probability that it is in the Northeast?
(b) Given that the restaurant is located in the Southeast, what is the probability that it is in a city with a population under 50,000?
(c) Given that the restaurant is located in the Southwest, what is the probability that it is in a city with a population of 500,000 or less?
(d) Given that the restaurant is located in a city with a population of 500,000 or less, what is the probability that it is in the Southwest?
(e) Given that the restaurant is located in the South (either SE or SW), what is the probability that it is in a city with a population of 50,000 or more?
Question 3:
What's your favorite TV show? The following tables present the ratings for 8
top prime-time shows for the 2007-2008 season and for the 2012-2013 season. The rating is the percentage of households with TV sets that watched the program.
Top Rated TV Programs: 2007-2008 | Top Rated TV Programs: 2012-2013 | ||
---|---|---|---|
Program | Rating | Program | Rating |
The Moment of Truth | 8.8 | Once Upon a Time | 3.6 |
Two and a Half Men | 8.5 | Survivor: Philippines | 3.5 |
60 Minutes | 8.4 | X-Factor - Wednesday | 3.5 |
Criminal Minds | 8.2 | NCIS: LA | 3.4 |
American Idol - Tuesday | 16.1 | NBC Sunday Night Football | 7.9 |
American Idol - Wednesday | 15.9 | Big Bang Theory | 6.2 |
Dancing With the Stars - Monday (2007) | 14.0 | The Voice | 5.1 |
Dancing With the Stars - Tuesday (2007) | 12.7 | Modern Family | 4.9 |
Part 1: (a) Find the population standard deviation of the ratings for 2007-2008. Round the answer to at least two decimal places.
The population standard deviation of the ratings for 2007-2008 is Blank %.
Part 2: (b) Find the population standard deviation of the ratings for 2012-2013. Round the answer to at least two decimal places.
The population standard deviation of the ratings for 2012-2013 is Blank %.
Question 4:
Video game console use: A market research company estimated the numbers of people in various gender and age categories who used a video game console. The results are presented in the following frequency distribution.
Gender and Age Group | Frequency (in millions) |
---|---|
Males 2 - 11 | 12.4 |
Females 2 - 11 | 11.1 |
Males 12 - 17 | 12.5 |
Females 12 - 17 | 6.4 |
Males 18 - 34 | 15.6 |
Females 18 - 34 | 12.5 |
Males 35 - 49 | 14.9 |
Females 35 - 49 | 9.9 |
Males +50 | 3.9 |
Females +50 | 3.0 |
Part 1:
Construct a relative frequency distribution. Round the answers to three decimal places.
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