A uniform distribution is a continuous probability distribution where every value of X on an interval is equally likely to be the outcome. If X is defined on the interval [a,b], then when graphed the density function for the distribution will be a horizontal line of height with domain [a,b]. Probabilities on a continuous random variable can be determined by calculating the area under the curve of the graph of the density function for the distribution. In general: For a uniform distribution function defined on [a,b] P(X < c) = c-a b-a b-c P(X> c) = b P(c < X < d) == where c 6.2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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A uniform distribution is a continuous probability distribution where every value
of X on an interval is equally likely to be the outcome.
If X is defined on the interval [a,b], then when graphed the density function for
the distribution will be a horizontal line of height with domain [a,b].
Probabilities on a continuous random variable can be determined by calculating
the area under the curve of the graph of the density function for the distribution.
In general: For a uniform distribution function defined on [a,b]
P(X < c) =
P(X> c)
=
b-a
b-c
b-a
P(c < X < d) =
d-c
b-a
where c<d
If X is a random variable with a uniform distribution for 5 < X < 14.
Find P(X> 6.2)
Transcribed Image Text:A uniform distribution is a continuous probability distribution where every value of X on an interval is equally likely to be the outcome. If X is defined on the interval [a,b], then when graphed the density function for the distribution will be a horizontal line of height with domain [a,b]. Probabilities on a continuous random variable can be determined by calculating the area under the curve of the graph of the density function for the distribution. In general: For a uniform distribution function defined on [a,b] P(X < c) = P(X> c) = b-a b-c b-a P(c < X < d) = d-c b-a where c<d If X is a random variable with a uniform distribution for 5 < X < 14. Find P(X> 6.2)
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