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?

  • 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?

<p>The relative standing of a value (C)</p> Signup and view all the answers

How are confidence intervals determined?

<p>Using sample statistics and the standard error of the mean (B)</p> Signup and view all the answers

What does variance measure in a probability distribution?

<p>The spread of the probability distribution (D)</p> Signup and view all the answers

Which function provides the average of the probability mass function?

<p>Expected Value (D)</p> Signup and view all the answers

What is described by a normal distribution in statistical analysis?

<p>A symmetrical bell curve using mean and standard deviation (A)</p> Signup and view all the answers

What does a Sampling Distribution describe?

<p>The probability distribution of a sample statistic (D)</p> Signup and view all the answers

What does Length of Confidence Interval indicate about estimation?

<p>Measure of precision in estimation (B)</p> Signup and view all the answers

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