Unit 6 Discrete Variable Distribution Test

Unit 6 Discrete Variable Distribution Test

Assessment

Flashcard

Mathematics

11th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a normal random variable?

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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