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 the probability density function
Given Information:
The probability distribution function is,
Formula used:
The definition of mean over the interval
Where, f is a probability density function and x is a continuous random variable.
The definition of variance is,
The definition of standard deviation is
Calculation:
Consider the probability distribution function,
The mean of the function is defined as,
By the use of symbolic integration utility to find the value of mean.
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