What is a normal random variable?
Unit 6 Discrete Variable Distribution Test

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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A normal random variable is a type of continuous random variable that has a bell-shaped probability distribution, defined by its mean (average) and standard deviation (spread).
2.
FLASHCARD QUESTION
Front
How do you calculate the probability of a normal random variable falling within a certain range?
Back
Use the Z-score formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. Then, refer to the standard normal distribution table.
3.
FLASHCARD QUESTION
Front
What is the mean in a probability distribution?
Back
The mean is the average value of a random variable, representing the center of the distribution.
4.
FLASHCARD QUESTION
Front
What is standard deviation in a probability distribution?
Back
Standard deviation measures the amount of variation or dispersion of a set of values in a probability distribution.
5.
FLASHCARD QUESTION
Front
What is the probability of at least k successes in a binomial distribution?
Back
Calculate the cumulative probability of getting k-1 successes and subtract from 1: P(X ≥ k) = 1 - P(X < k).
6.
FLASHCARD QUESTION
Front
What is a binomial distribution?
Back
A binomial distribution models the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.
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 that value.
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