BIOL499A Chapter Notes - Chapter 6: Random Variable, Normal Distribution, Law School Admission Test
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Since normal distributions play a large role in statistics, we will talk mainly about normal distributions in this chapter. The normal distributions are symmetric, single peaked, bell-shaped density curves. All normal distributions have the same overall shape. The exact density curve for a particular normal distribution is described by giving its mean and its standard deviation . The mean is located at the center of the symmetric curve and is the same as median. Changing without changing moves the normal curve to a new location without altering its spread. The standard deviation controls the spread of a normal curve. Example 6. 1: if the random variable z has the standard normal distribution, find (a) (b) Example 6. 2: if the random variable z has the standard normal distribution, locate the value of z that satisfies (a) (b) It does not depend on the unit of measurement.