03 - Binomial and normal distribution (Sept. 21-27)
Binomial and Normal Distribution
Learning Objectives
Define a density curve for a continuous variable and a probability distribution for a categorical variable, and discuss how to measure the center and spread. Name a type of density curve.
Key idea: the area under a density curve over a range of values corresponds to the probability that the random variable X takes on a value in that range.
Draw a picture of the normal distribution showing the mean and the three intervals based on the empirical rule: 68-95-99.7.
Understand standard deviation as a measure of spread based on how far the observations fall from the mean. Describe the z-score or standardized score in words.
Be able to calculate z-scores by subtracting the mean from the observed value and dividing by the standard deviation.
Identify the mean and standard deviation of a standard normal random variable, Z.
Be able to use the standard normal table to find probabilities for z-scores.