Normal Distribution. Introduction. Probability Density Functions. Probability Density Functions…. Unlike a discrete random variable which we studied in Chapter 7, a continuous random variable is one that can assume an uncountable number of values.
Thus, we can determine the probability of a range of values only.
area = width x height = (b – a) x = 1
The normal distribution is fully defined by two parameters:
its standard deviation andmean
The normal distribution is bell shaped and
symmetrical about the mean
Unlike the range of the uniform distribution (a ≤ x ≤ b)
Normal distributions range from minus infinity to plus infinity
1Standard Normal Distribution…
…mean of 50 minutes and a
standard deviation of 10 minutes…
Tripthi M. Mathew, MD, MPH
95% of the data
99.7% of the data68-95-99.7 Rule
Stat 111 - Lecture 7 - Normal Distribution