Discrete Random Variables

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a discrete random variable?
Back
A discrete random variable is a type of variable that can take on a countable number of distinct values, often representing counts or whole numbers.
2.
FLASHCARD QUESTION
Front
How do you calculate the mean of a discrete random variable?
Back
To calculate the mean, multiply each value of the random variable by its probability and sum all these products.
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
What is a probability distribution?
Back
A probability distribution is a function that describes the likelihood of obtaining the possible values that a random variable can take.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
5.
FLASHCARD QUESTION
Front
What are the properties of a valid probability distribution?
Back
1. All probabilities must be between 0 and 1. 2. The sum of all probabilities must equal 1.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
6.
FLASHCARD QUESTION
Front
What is standard deviation in the context of discrete random variables?
Back
Standard deviation measures the amount of variation or dispersion of a set of values in a probability distribution.
7.
FLASHCARD QUESTION
Front
How do you calculate the standard deviation of a discrete random variable?
Back
To calculate standard deviation, find the square root of the variance, which is the sum of the squared differences between each value and the mean, weighted by their probabilities.
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