4.7 - Discrete Random Variables
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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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 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
3.
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
4.
FLASHCARD QUESTION
Front
How do you calculate the expected value (mean) of a discrete random variable?
Back
The expected value is calculated by multiplying each possible value by its probability and then summing all these products.
Tags
CCSS.HSS.MD.A.2
5.
FLASHCARD QUESTION
Front
What is the formula for expected value (E(X))?
Back
E(X) = Σ [x * P(x)], where x is a value and P(x) is the probability of x.
Tags
CCSS.HSS.MD.A.2
6.
FLASHCARD QUESTION
Front
What does it mean to find the probability of at least k successes in a binomial distribution?
Back
It means calculating the probability of getting k or more successes in a fixed number of trials.
7.
FLASHCARD QUESTION
Front
What is the binomial probability formula?
Back
P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
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