Probability Theory Basics Quiz

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If a random variable can take on an infinite number of values, it is known as a:

Probability density function

Continuous random variable (correct)

Cumulative distribution function

Discrete random variable

What does it mean if the probability of an event (P(A)) equals zero?

Event A will almost definitely occur

There is a strong chance that event A will occur

Event A will almost definitely not occur (correct)

There is only a small chance that event A will occur

In probability theory, what is the sum of probabilities for all possible outcomes in a statistical experiment equal to?

The number of outcomes

Zero

One (correct)

The sample space

What is the probability of choosing a red marble from an urn with 10 marbles (2 red, 3 green, 5 blue) if one marble is randomly selected?

$2/10$ or $0.20$ Signup and view all the answers

How is the probability of an event expressed mathematically?

As a value between 0 and 1 Signup and view all the answers

What is the term used in probability theory to describe a trial repeated multiple times to get a set of outcomes?

Random Experiment Signup and view all the answers

In the context of probability theory, what is a set of outcomes that forms a subset of the sample space called?

Event Signup and view all the answers

Which type of event in probability theory is affected by other events?

Dependent Event Signup and view all the answers

What is the formal concept in probability theory used to describe the likelihood of the occurrence of an event?

Probability Distributions Signup and view all the answers

Which type of events in probability theory cannot take place at the same time?

Mutually Exclusive Events Signup and view all the answers

Probability Theory Basics Quiz

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Questions and Answers

If a random variable can take on an infinite number of values, it is known as a:

What does it mean if the probability of an event (P(A)) equals zero?

In probability theory, what is the sum of probabilities for all possible outcomes in a statistical experiment equal to?

What is the probability of choosing a red marble from an urn with 10 marbles (2 red, 3 green, 5 blue) if one marble is randomly selected?

How is the probability of an event expressed mathematically?

What is the term used in probability theory to describe a trial repeated multiple times to get a set of outcomes?

In the context of probability theory, what is a set of outcomes that forms a subset of the sample space called?

Which type of event in probability theory is affected by other events?

What is the formal concept in probability theory used to describe the likelihood of the occurrence of an event?

Which type of events in probability theory cannot take place at the same time?

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