Definitions
What values can a probability fall between?
0 and 1, inclusive.
a) What is the probability a randomly selected game is released on a home console.
703/912~0.77
Type of computer system
Categorical
A pie chart can be used with this type of data
Categorical
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
Sensitivity
# of true positives / # of those with the condition (sick)
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
Number of classes taken this semester
Discrete quantitative
A histogram can be used with this type of data
Quantitative
Specificity
# of true negatives / # of those who do NOT have the condition (healthy)
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
Continuous quantitative
This type of plot should be used to display two quantitative variables
Scatterplot
What is the probability that a student got an A on the midterm and the final?
0.0611
List out the requirements for a statistical question.
1. population of interest
2. a measurable characteristic (variable)
3. variation in the response
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
This type of plot should be used to display two categorical variables
Comparative bar plot
Stacked bar plot
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
f) Are the events "Handheld" and "Role-Playing" mutually exclusive?
No, they can occur at the same time. (31 observations have both)
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
What is the probability that a student got an A on the final?
0.1568