1105 Probability and Statistics Exam 2 Practice Quiz Part 1
Mastering Probability and Statistics
Test your knowledge and understanding of probability and statistics with this engaging Quiz! Designed for students and enthusiasts alike, this quiz will challenge you with a variety of questions ranging from basic definitions to complex concepts. Strengthen your grasp on key topics and see how well you can apply what you know.
- Multiple choice and open-ended questions
- Topics include sample spaces, events, and probabilities
- Great for practice and review
What is an accurate description of a sample space?
The experiment that generates a set of outcomes we analyze
The set of events we are interested in when analyzing probabilities of an experiment
The set of all outcomes an experiment can generate
None of the above
What is the BEST description of an event, in mathematical terms?
A single outcome that an experiment can generate
A collection of more than one outcome that an experiment could generate
A collection of one or more outcomes that an experiment could generate
A collection of all outcomes imaginable, whether or not the experiment can generate them
What are the two types of probabilities that the "Law of Large Numbers" discusses?
Future Probability
Experimental Probability
Deterministic Probability
Theoretical Probability
When all outcomes of an experiment are equally likely (very common in our studies), what special name do we give the sample space of the experiment?
Uniform Sample Space
Rigid Sample Space
Balanced Sample Space
Even Sample Space
What is the probability that an arrangement of the three letters A, T, and C will form a three letter word in the English language? (Each letter is used once and only once, do not count Tac as a word)
Given the set U = {3, 5, 8, 11, 15, 21} and the subset A = {8, 11} of U, what is the sum of all the elements in the complement of A?
19
Infinity
63
44
A survey of 80 students found that 42 of them are wearing red and 34 of them are wearing green. Furthermore, 27 of them are wearing neither red nor green. What is the number of students who are wearing red, green, or red and green?
53
27
80
76
Given the same survey, how many students are wearing both red and green? (Hint: We aren't exactly dealing with probabilities, but we can still essentially use the addition law as described in 5.2.1)
23
27
42
11
What does it mean for two events to be mutually exclusive? Provide an example of two mutually exclusive events, and two events that are not mutually exclusive.
What is an example of a multistage experiment? (Recall that experiments are defined a little differently in math than how we think about experiments in real life)
Giving birth to two children, and considering their biological sex
Observing whether or not each of 3 consecutive cars who pass you on the highway are red
Considering what the probability of picking a particular flavor of ice cream at an ice cream parlor which serves 8 different flavors
True or False: A probability distribution is a summary of experimental outcomes and their probabilities
True
False
Your sock drawer is a complete mess, and you've given up trying to match socks by digging through the drawer. You have two pairs of black socks, one pair of white socks, and a holiday sock that lost it's companion to that dang dryer monster that eats half your socks. What is the probability that, if you draw two socks, you will grab a matching pair? (Hint: Model this question with a tree diagram. First think about what your possible outcomes for each grab are. Then think about what the probability of each outcome is. Then pick which tree branches give you a pair of socks.)
When we consider mutually exclusive events, if I want to find the probability that event A occurs OR event B occurs, the word 'or' is a big clue that I need to
Add the probabilities of the individual events
Multiply the probabilities of the individual events
Only consider one of the events
When we consider independent events, if I want to find the probability that event A occurs AND event B occurs, the word 'and' is a big clue that I need to
Add the probabilities of the individual events
Multiply the probabilities of the individual events
Look up the answer on Chegg because this is too confusing
Two events are dependent if...
One occurring changes the probability of the second
Neither can happen without the other
Both events have the same probability
The events may or may not happen depending on how the experiment that generates the events is conducted
Select all true statements about independent events.
If A and B are independent events, then P(A∩B) = P(A)*P(B)
The probability formula for independent events is a special case of the more general multiplication law for probabilities
If A and B are independent events, their total probability is 1
Independent events only occur when there are exactly two outcomes in the sample space of an experiment
What is the probability of rolling a 20 sided die twice, and getting an even number on your first roll, and a 3 on your second roll?
1/420
1/2
1/20
1/40
If I want to find the probability of event A GIVEN that even B occurs, the word 'given' is a big clue that to calculate the probability of A, I need to use
Math.stackexchange.com
Multiplication
Addition
Conditional Probabilities
A probability table is used to show the relationship between two different variables and their outcomes. Marginal probabilities..
Are located in the central cells
Are located at ends of the rows and the bottom of the columns
Are calculated using the probabilities of a single row or column
66.667%
.667
.1
1%
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