Flashcard 8.1 2024
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is the expected value in probability?
Back
The expected value is the average of all possible outcomes of a random variable, weighted by their probabilities.
2.
FLASHCARD QUESTION
Front
How do you calculate the expected value of a discrete random variable?
Back
Multiply each possible outcome by its probability and sum all these products.
3.
FLASHCARD QUESTION
Front
What is a discrete random variable?
Back
A discrete random variable is one that can take on a countable number of distinct values.
4.
FLASHCARD QUESTION
Front
What is a continuous random variable?
Back
A continuous random variable can take on an infinite number of possible values within a given range.
5.
FLASHCARD QUESTION
Front
What is a probability distribution?
Back
A probability distribution describes how probabilities are distributed over the values of a random variable.
6.
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.
7.
FLASHCARD QUESTION
Front
What is the formula for calculating expected value?
Back
E(X) = Σ [x * P(x)], where x is a possible outcome and P(x) is the probability of that outcome.
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