Random Variables and Probability Basics

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What is the main difference between discrete random variables and continuous random variables?

Discrete random variables are used for continuous data, while continuous random variables are used for discrete data.

Discrete random variables do not involve probabilities, while continuous random variables do.

Discrete random variables have a countable number of values, while continuous random variables assume an infinitely large number of values. (correct)

Discrete random variables assume an infinitely large number of values, while continuous random variables have a countable number of values.

What is the function that describes the probability of each outcome in a discrete random variable?

Expected Value Function

Normal Distribution Function

Probability Mass Function (correct)

Variance Function

What does the Central Limit Theorem state?

As the sample size decreases, the sampling distribution of the sample mean approaches a normal distribution.

As the sample size increases, the sampling distribution of the sample mean becomes more skewed.

As the sample size increases, the sampling distribution of the sample mean approaches a uniform distribution.

As the sample size increases, the sampling distribution of the sample mean approaches a normal distribution. (correct)

What does the Z-Score measure in a normal distribution?

The relative standing of a value Signup and view all the answers

How are confidence intervals determined?

Using sample statistics and the standard error of the mean Signup and view all the answers

What does variance measure in a probability distribution?

The spread of the probability distribution Signup and view all the answers

Which function provides the average of the probability mass function?

Expected Value Signup and view all the answers

What is described by a normal distribution in statistical analysis?

A symmetrical bell curve using mean and standard deviation Signup and view all the answers

What does a Sampling Distribution describe?

The probability distribution of a sample statistic Signup and view all the answers

What does Length of Confidence Interval indicate about estimation?

Measure of precision in estimation Signup and view all the answers

Random Variables and Probability Basics

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Questions and Answers

What is the main difference between discrete random variables and continuous random variables?

What is the function that describes the probability of each outcome in a discrete random variable?

What does the Central Limit Theorem state?

What does the Z-Score measure in a normal distribution?

How are confidence intervals determined?

What does variance measure in a probability distribution?

Which function provides the average of the probability mass function?

What is described by a normal distribution in statistical analysis?

What does a Sampling Distribution describe?

What does Length of Confidence Interval indicate about estimation?

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