Discrete Random Variables

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•
Mathematics
•
12th Grade
•
Hard
+3
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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
What is the probability mass function (PMF)?
Back
The probability mass function (PMF) is a function that gives the probability that a discrete random variable is exactly equal to some value.
Tags
CCSS.HSS.MD.A.4
CCSS.HSS.MD.A.3
3.
FLASHCARD QUESTION
Front
What is the expected value of a discrete random variable?
Back
The expected value is the long-term average value of repetitions of the experiment it represents, calculated as E(X) = Σ [x * P(X=x)] for all possible values x.
Tags
CCSS.HSS.MD.A.2
4.
FLASHCARD QUESTION
Front
What does it mean for probabilities to sum to 1?
Back
For a discrete random variable, the sum of the probabilities of all possible outcomes must equal 1, indicating that one of the outcomes must occur.
Tags
CCSS.7.SP.C.7A
5.
FLASHCARD QUESTION
Front
What is the variance of a discrete random variable?
Back
Variance measures the spread of a set of values, calculated as Var(X) = E(X^2) - (E(X))^2.
6.
FLASHCARD QUESTION
Front
What is the difference between discrete and continuous data?
Back
Discrete data consists of distinct, separate values (e.g., number of students), while continuous data can take any value within a range (e.g., height, weight).
7.
FLASHCARD QUESTION
Front
How do you calculate P(X < k) for a discrete random variable?
Back
P(X < k) is calculated by summing the probabilities of all outcomes less than k, i.e., P(X < k) = Σ P(X=x) for all x < k.
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