Exercise 1 Page 777

We are asked to complete the following sentence.

A(n) ? for a particular random variable is a function that maps the sample to the probabilities of the outcomes of the sample space.

Let's recall that, using an equation, a frequency table or a frequency graph, we can show the probability distribution. This is a function that maps the sample space to the probabilities of the outcomes in the sample space for a particular random variable. Consider a box with ten balls of six colors.

Next let's make a table showing the frequencies of drawing a certain color ball from our box.

Ball Color	Frequency	Probability
Green	1	1/10
Orange	2	2/10
Blue	2	2/10
Red	1	1/10
Purple	3	3/10
Yellow	1	1/10

Now we can make a graph of the probability distribution of this event.

Finally we will complete the given sentence.

A probability distribution for a particular random variable is a function that maps the sample to the probabilities of the outcomes of the sample space.