Using Technology In Exercises 17-22, use a symbolic integration utility to find the mean, variance, and standard deviation of the probability density function. Then find the percent of the distribution that lies within the given standard deviations of the mean. See Example 3.
Function | StandardDeviations |
To calculate: The mean, variance and standard deviation of probability density function,
The percentage of the distribution that lies within the given standard deviation 0.25 of the
Mean.
Given Information:
The provided function is,
And, the standard deviation is 0.25.
Formula used:
If
The variance is given by,
The standard deviation of
To find the percent of distribution that lies within one standard deviation of the mean integrate
Calculation:
Consider the function,
For the mean of the function,
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