For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of the mean. f(x) = 28 ×, [5,9] a) Find the mean. (Round to three decimal places as needed.) b) Find the standard deviation. (Round to three decimal places as needed.) c) Find the probability that the random variable x is within one standard deviation of the mean. The probability is. (Round to three decimal places as needed)
For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of the mean. f(x) = 28 ×, [5,9] a) Find the mean. (Round to three decimal places as needed.) b) Find the standard deviation. (Round to three decimal places as needed.) c) Find the probability that the random variable x is within one standard deviation of the mean. The probability is. (Round to three decimal places as needed)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of
the mean.
1
f(x) =
x, [5,9]
28
a) Find the mean.
%3D
(Round to three decimal places as needed.)
b) Find the standard deviation.
(Round to three decimal places as needed.)
c) Find the probability that the random variable x is within one standard deviation of the mean.
The probability is.
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee2e25dc-949a-49f9-893c-6a598612cdf0%2F30747267-1814-4993-a013-3440b6e01936%2Fp6txpm_processed.png&w=3840&q=75)
Transcribed Image Text:For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of
the mean.
1
f(x) =
x, [5,9]
28
a) Find the mean.
%3D
(Round to three decimal places as needed.)
b) Find the standard deviation.
(Round to three decimal places as needed.)
c) Find the probability that the random variable x is within one standard deviation of the mean.
The probability is.
(Round to three decimal places as needed.)
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