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): = ba b-c b-a P(c < X < d) = d- b-a where c
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): = ba b-c b-a P(c < X < d) = d- b-a where c
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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-α
b-a
b-c
ba
P(c< X < d) =
d-c
b-a
where c<d
If X is a random variable with a uniform distribution for 5 < X < 7.
What is the height of the horizontal line of the density function for the
distribution?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F649cc619-0acd-4b83-8463-5b092fdac9da%2F99534354-3123-4cc4-a84f-20399120772a%2Fzezves_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-α
b-a
b-c
ba
P(c< X < d) =
d-c
b-a
where c<d
If X is a random variable with a uniform distribution for 5 < X < 7.
What is the height of the horizontal line of the density function for the
distribution?
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