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)
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Author:Sheldon Ross
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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.)
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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