Discrete Probability Distributions

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a discrete probability distribution?
Back
A discrete probability distribution is a statistical distribution that describes the likelihood of outcomes of a discrete random variable, which can take on a countable number of values.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
2.
FLASHCARD QUESTION
Front
How do you calculate the mean of a discrete probability distribution?
Back
The mean (expected value) is calculated by multiplying each possible value by its probability and summing the results: E(X) = Σ [x * P(x)].
Tags
CCSS.HSS.MD.A.2
3.
FLASHCARD QUESTION
Front
What is the expected value in probability?
Back
The expected value is the long-term average or mean of a random variable, calculated as the sum of all possible values, each multiplied by its probability.
Tags
CCSS.HSS.MD.A.2
4.
FLASHCARD QUESTION
Front
Define variance in the context of probability distributions.
Back
Variance measures the spread of a set of values in a probability distribution, calculated as the average of the squared differences from the mean.
5.
FLASHCARD QUESTION
Front
What is the formula for calculating variance of a discrete random variable?
Back
Variance (σ²) = Σ [(x - μ)² * P(x)], where μ is the mean.
6.
FLASHCARD QUESTION
Front
Explain the concept of standard deviation in probability.
Back
Standard deviation is the square root of the variance and provides a measure of the amount of variation or dispersion in a set of values.
7.
FLASHCARD QUESTION
Front
What is the probability of an event?
Back
The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 (impossible) and 1 (certain).
Tags
CCSS.7.SP.C.5
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