1105 Probability and Statistics Exam 2 Practice Quiz Part 1

Create an engaging image of students studying statistics with graphs and formulas in the background, displaying a diverse group of learners using calculators and computers.

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

25 Questions6 MinutesCreated by CalculatingEagle432

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?

Infinity

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?

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)

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

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

1105 Probability and Statistics Exam 2 Practice Quiz Part 1

Mastering Probability and Statistics

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