What is the significance of the P(x) value?

The P(x) value indicates the likelihood of a specific outcome occurring in a probability distribution.

Can probabilities in a probability distribution be negative?

No, probabilities in a probability distribution cannot be negative; they must be between 0 and 1 inclusive.

What is the relationship between probability distributions and random variables?

Probability distributions describe the behavior of random variables by assigning probabilities to their possible values.

What is a probability mass function (PMF)?

A probability mass function (PMF) is a function that gives the probability that a discrete random variable is equal to a specific value.

What is a cumulative distribution function (CDF)?

A cumulative distribution function (CDF) is a function that gives the probability that a random variable is less than or equal to a certain value.

What is the expected value in a probability distribution?

The expected value is the long-term average or mean of a random variable, calculated as the sum of all possible values weighted by their probabilities.

What is variance in the context of probability distributions?

Variance measures the spread or dispersion of a set of values in a probability distribution, indicating how much the values differ from the expected value.

What is the difference between independent and dependent events in probability?

Independent events are those whose outcomes do not affect each other, while dependent events are those whose outcomes are influenced by one another.

How can you determine if a set of probabilities forms a valid probability distribution?

To determine if a set of probabilities forms a valid probability distribution, check that all probabilities are between 0 and 1 inclusive and that their sum equals 1.

Probability Distribution

Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSS.MD.A.3, 7.SP.C.7A, 7.SP.C.5

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16 questions

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FLASHCARD QUESTION

Front

What is a probability distribution?

Back

A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

FLASHCARD QUESTION

Front

What are the two main types of probability distributions?

Back

The two main types of probability distributions are discrete probability distributions and continuous probability distributions.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

FLASHCARD QUESTION

Front

What is a discrete probability distribution?

Back

A discrete probability distribution is one that deals with discrete random variables, which can take on a countable number of values.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

FLASHCARD QUESTION

Front

What is a continuous probability distribution?

Back

A continuous probability distribution is one that deals with continuous random variables, which can take on an infinite number of values within a given range.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

FLASHCARD QUESTION

Front

What is the sum of probabilities in a valid probability distribution?

Back

The sum of all probabilities in a valid probability distribution must equal 1.

Tags

CCSS.7.SP.C.7A

FLASHCARD QUESTION

Front

What is the range of probabilities in a probability distribution?

Back

In a probability distribution, all probabilities must be between 0 and 1 inclusive.

Tags

CCSS.7.SP.C.5

FLASHCARD QUESTION

Front

What does P(x) represent in a probability distribution?

Back

P(x) represents the probability of a random variable X taking on the value x.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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