The document discusses normal distributions and provides the following key points: 1. A normal distribution is a continuous probability distribution that has a bell-shaped curve and is described by its mean and standard deviation. 2. The probability of a random variable being equal to any exact value is zero for a continuous distribution, but the probability of it lying within a range of values is not zero. 3. The normal distribution is commonly used because it can be fully described using its mean and standard deviation, and tables of the standard normal distribution N(0,1) allow probabilities and values to be easily looked up.

1. Normal Distributions Q U A N T T E C H I N T E U Q I A S E V I T 1 0 S

14. Solution to Shirt Problem P( x <= 20) = 0.11 P (x > 35) = 1 – 0.73 = 0.27 P (27 < x <= 32) = 0.6 – 0.35 = 0.25

16. Solution to Shirt Problem

21. Identical Distribution Functions