non-Standard
Normal Distributions
The normal distribution will be used to calculate very important probabilities (those allowing use to make claims of confidence of an inferential statistic and be able to test a hypothesis.... you know most of science). The first we will see applications for normal probability distributions such as finding the percentage of adult women whose height is between 5 feet 4 inches and 5 feet 7 inches, or finding the probability that a new battery will last longer than 4 years.
Just like in the example of the clock-spinner we will find probabilities by finding the area underneath the curve. Yet as we have already seen the equation is very complicated. So one thing we do is always switch to the standard normal as we just saw.
Find the areas (VIDEO):
1. To the left of any
Look up the
2. To the right of any
Look up the
3. Between any two
Look up both