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 b-a P(c < X < d) = -c where c c) If X is a random variable with a uniform distribution for 2 < X < 11. Find P(X > 8.8)
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 b-a P(c < X < d) = -c where c c) If X is a random variable with a uniform distribution for 2 < X < 11. Find P(X > 8.8)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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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) =
=
c-a
b-a
b-c
a
P(c < X < d) = = where c<d
d-c
b-a
If X is a random variable with a uniform distribution for 2 < X < 11.
Find P(X > 8.8)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F649cc619-0acd-4b83-8463-5b092fdac9da%2Faba7aa55-98b3-4e32-8490-1efb0a1f4689%2F7l6hzzd_processed.png&w=3840&q=75)
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) =
=
c-a
b-a
b-c
a
P(c < X < d) = = where c<d
d-c
b-a
If X is a random variable with a uniform distribution for 2 < X < 11.
Find P(X > 8.8)
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