Finding the Mean and Median In Exercises 23-28, find the mean and median of the probability density function. See Example 4.
To calculate: The mean and median of the probability density functions .
The probability distribution function is,
where interval is .
The formula to find the mean of probability distribution function is:
where, is mean or expected value of probability distribution function , is given interval.
The formula to find the median, for probability distribution function is median of x is number m such that .
Consider the given equation:
Consider the primary equation to find mean,
Now substitute for and interval in primary equation,
Integrating primary equation:
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