Definitions
J&M Frequencies
Set Notation
Conditional Probability
Disjoint and Overlapping events
100
What is a Marginal Frequency?
Cells that contain the sum of a specific row or column in a two way table
100
What is the total amount of parts that pass based on the following data?
414
100
Shade the following part of the Venn Diagram: (A U B)
The entirety of Circle A and Circle B
100
What's
P(Owns cat| Owns Dog)?
24/85 = .282 (rounded to three decimal places)
100
Lets say you roll a 10 sided die, the number on the top n can be described by 2 events
A:
n>5
B:
n<=5
Are the two events Disjointed?
The two events are disjointed
200
What is a Joint Frequency?
Individual (more specific) parts of a two way frequency table.
200
What is the marginal frequency of the people that own Laptops?
57
200
Shade the area of (A n B)' :
Everything but the intersection of A and B
200
What is
P(Does not own dog| Owns Cat)
34/141= .241 (rounded to 3 decimal)
200
Assuming that the following events are disjointed find
P (A or B)
P(A)=.32
P(B)=.26
P(A or B)=.58
300
What does "U" mean in set notation?
The Union or what events occur in either one subset or the other
300
What does the following joint frequency for people that watch particular sports mean?
The amount of people that watch Baseball but do not watch basket ball
300
Shade the area of (A-B)'
Everything but A without elements of B
300
Given that we are using a fair coin
what is:
P(Heads| Last flip was tails)
1/2 (.5) the events are disjoint and are thus not affected by conditional probability
300
If P(A or B) = .596
and P(A) = .3 and P(B)=.4
What is P(A n B)?
P(A n B)=.104
400
What does the term P(A|B) mean?
The Probability of event A when we are given that event B also occurs
400
Interpret the following marginal frequency for the data based around when people started driving, and the gender of people in the data set:
The amount of people who started driving at an age less than 16
400
If U={0,1,2,3,4,5,6,7,8}, A={1,6,7,4}, B={2,3,8,6,0}
What is A'?
A'={0,2,3,5,8}
400
If I have a bag that contains 7 total chips, 3 are green and 4 are red and I am drawing chips without placing them back in the bag. What is P(2nd is green| 1st is green)?
After drawing 1 green chip the bag has 6 chips left, 2 are green 4 are red, thus the probability of drawing a 2nd green chip is 1/3
400
Lets say you roll a 20 sided die
A: n = prime
B: n = even
What is P(A or B)?
P(A or B) = .85
500
What does it mean for an event to be mutually exclusive?
When two events can not occur at the same time
500
Fill in the following Two-Way Frequency Table
From top left to bottom right the answers are as follows: 55, 139, 123, 127
500
If U={0,1,2,3,4,5,6,7,8,9},
A={9,7,5,3,0}, B={1,2,3,4,5}
What is (A-B)'
(A-B)' = {1,2,3,4,5,6,8}
A-B = {9,7,0}
500
Finish the following two way table and find:
P(not loan approved | did graduate)
Remaining two way table values from Top left to bottom right: 82, 422, 52, 480, 134
P(not loan approved | did graduate) = .194 (rounded to 3 decimal places)
500
Say you survey a group of 30 students
18 are male
7 students in the class are in the quiz bowl team
3 of the quiz bowl students are male
If you select a student at random what is P(Male or Quiz Bowl Team)?
P(Male or Quiz Bowl Team)=.733 (rounded to 3 decimals)