STA 261 Review Modules 1 - 4

Definitions

100

What values can a probability fall between? 

0 and 1, inclusive. 

200

Sensitivity

# of true positives / # of those with the condition (sick)

300

Specificity

# of true negatives / # of those who do NOT have the condition (healthy)

400

List out the requirements for a statistical question. 

1. population of interest

2. a measurable characteristic (variable) 

3. variation in the response 

500

List out the conditions for a binomial distribution

1. A fixed number of trials, n

2. Each trial has 2 possible outcomes

3. The probability of success, p, is the same for each trial

4. The trials are independent

Probability

100

a) What is the probability a randomly selected game is released on a home console. 

703/912~0.77

200

c) What is the probability that a randomly selected game is released for a home console AND is not considered a role-playing game?

640/912~0.702

300

d) What is the probability a randomly selected game is released on a handheld or is a role-playing game? 

(63+31+178)/912~0.298

(94+209-31)/912~0.298

1-(640/912)~0.298

400

e) What is the probability a randomly selected game is a role-playing game, given that it is released on a handheld device?

31/209~0.148

500

f) Are the events "Handheld" and "Role-Playing" mutually exclusive? 

No,  they can occur at the same time. (31 observations have both)

Variable Types

100

Type of computer system

Categorical 

200

Number of classes taken this semester

Discrete quantitative 

300

Distance from home

Continuous quantitative 

Graph Types

100

A pie chart can be used with this type of data

Categorical

200

A histogram can be used with this type of data

Quantitative

300

This type of plot should be used to display two quantitative variables

Scatterplot

400

This type of plot should be used to display two categorical variables 

Contingency table

Comparative bar plot

Stacked bar plot

500

This type of plot should be used to display one quantitative and one categorical variables

Comparative boxplot

Comparative histogram

Comparative dotplot

Comparative stem-and-leaf plot

Tree Diagrams

100

If a student got an A on the midterm, what is the probability that the student got less than an A on the final?

.53

300

What is the probability that a student got an A on the midterm and the final?

 0.0611

500

What is the probability that a student got an A on the final?

0.1568