Random Variables

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•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a random variable?
Back
A random variable is a numerical outcome of a random phenomenon. It can be discrete (taking specific values) or continuous (taking any value within a range).
2.
FLASHCARD QUESTION
Front
Define discrete random variable.
Back
A discrete random variable is one that has a countable number of possible values, such as the number of children in a household.
3.
FLASHCARD QUESTION
Front
Define continuous random variable.
Back
A continuous random variable can take any value within a given range, such as the height of students.
4.
FLASHCARD QUESTION
Front
What is the mean of a random variable?
Back
The mean (expected value) of a random variable is the average of all possible values, weighted by their probabilities.
5.
FLASHCARD QUESTION
Front
How do you calculate the standard deviation of a random variable?
Back
The standard deviation is calculated as the square root of the variance, which measures the spread of the random variable's values around the mean.
6.
FLASHCARD QUESTION
Front
What is a probability distribution?
Back
A probability distribution describes how probabilities are distributed over the values of a random variable.
7.
FLASHCARD QUESTION
Front
What is the formula for the expected value of a discrete random variable?
Back
E(X) = Σ [x * P(x)], where x is a value of the random variable and P(x) is the probability of x.
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