For each probability density function, over the given interval, find E ( x ) , E ( x 2 ) , the mean, the variance, and the standard deviation. f ( x ) = 1 8 x , [ 0 , 4 ]
For each probability density function, over the given interval, find E ( x ) , E ( x 2 ) , the mean, the variance, and the standard deviation. f ( x ) = 1 8 x , [ 0 , 4 ]
Solution Summary: The author calculates the probability density function f(x)=18x over the interval [0,4].
Given the probability density function f(x)
over the interval (2, 5], find the expected value, the mean,
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the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
Given the probability density function f(2)
over the interval [1, 3], find the expected value, the
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mean, the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
Given the probability density function f(x)=16f(x)=16 over the interval [4,10][4,10], find the expected value, the mean, the variance and the standard deviation.Expected value: Mean: Variance: Standard Deviation:
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