The Uniform Distribution
By the end of class you will be
able to calculate probabilities of
uniform distributions
Distributions We’ve Already Seen
(Write 2 facts for each)
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Binomial
Poisson
Normal
Standard Normal
Create Two Histograms
• Variable: outcome
when rolling 1 die
• Variable: Odd/Even
result when rolling 1
die
• Both of these
histograms have a
Uniform Distribution
Uniform Distribution
• Graph results in a rectangular shape
• When the random variable is continuous the
values are spread evenly over the range of
possibilities
• Is an example of a density curve….a graph of a
continuous probability distribution whose total
area under the curve is 1, and ever point on the
curve must have a vertical height 0 or greater.
• The density curve of a uniform distribution is a
horizontal line.
Assume that a time between 0 and 4 hours
is randomly selected in such a way so that
every possible time is equally likely. x is a
continuous random variable with a uniform
distribution. Calculate the following
probabilities:
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P(x<3)
P(1<x<2)
P(x>2)
P(1.7<x<3.1)
The voltages in a circuit are
uniformly distributed between 7 and
12 volts. Find the probability that
the voltage level is between 8 and
11 volts.