Identifying Probability Density Functions In Exercises 7-12, use a graphing utility to graph the function. Then determine whether the function f represents a probability density function over the given interval. If f is not a probability density function, identify the condition(s) that is (are) not satisfied. See Examples 1 and 2.
To graph: The function, and find the function represents is a probability density function over the interval or not.
The function, over the interval .
Use the ti-83 graphing calculator to plot the graph of the function.
Step 1: Press the [Y=] key, then there will appear the equations for .
Step 2: Enter the equations as .
Step 3: Set the window as shown below:
Step 4: Press the graph button to plot the graph of the function .
Consider a function f of a continuous random variables x whose set of values is the interval The function is a probability density function when it is non-negative and continuous on the interval and when
Consider the function,
is non-negative and continuous
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