Normal and Binomial Distribution Probabilities

10-A: Continuous random variable distribution

Learning Objectives

  • Understanding continuous distributions and probability density functions

READ: Continuous Random Variable Distributions

10-B: Normal distribution introduction

Learning Objectives

  • Understand the properties of the normal distribution

REVIEW: The standard normal distribution and z-scores

READ: Normal distribution introduction


10-C: Normal distribution probabilities

Learning objectives

  • Understand how to compute probabilities for areas under the normal distribution

READ: Computing probabilities of the normal distribution

DOWNLOAD: Standard normal probability table (z-table)


10-D: Discrete random variable distributions

Learning objectives

  • Understanding discrete distributions and probability density functions

READ: Discrete distributions and probability density functions

10-E: Binomial distribution probabilities

Learning objectives

  • Define binomial outcomes

  • Compute the probability of getting X successes in N trials

  • Compute cumulative binomial probabilities

  • Find the mean and standard deviation of a binomial distribution

READ: Discrete binomial distribution probabilities

WATCH: https://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-random-variable/v/probability-of-making-2-shots-in-6-attempts


10-F: Distinguishing distributions

Learning objectives

  • Distinguish between discrete and continuous distributions

  • Distinguish between binomial, poisson, multinomial, hypergeometric discrete distributions

  • Distinguish normal, t, F, and chi-square continuous distributions

READ: Distinguishing between different distributions

READ: https://stattrek.com/probability-distributions/discrete-continuous.aspx