A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric.Their regional responsibilities are shown in the table.Vice PresidentRegional ResponsibilityAndrewEastBethEastCharlesEastDianeWestEricWestHere is a graph of the distribution of regional responsibility for these 5 vice presidents.The president of the company wants to select 2 of the 5 vice presidents to send to a conference. The 10 possible samples of size 2 who can be selected from this population without replacement are (Andrew, Beth), (Andrew, Charles), (Andrew, Diane), (Andrew, Eric), (Beth, Charles), (Beth, Diane), (Beth, Eric), (Charles, Diane), (Charles, Eric), and (Diane, Eric). The proportion of vice presidents who have east as their regional responsibility for these 10 possible samples is shown in this graph.The president places the names of the 5 vice presidents in a hat, mixes them well, and then selects two names without replacement. Andrew and Diane are selected. The regional responsibility of Andrew is east and the regional responsibility of Diane is west, so the proportion of east for this particular sample is 0.5. Here is a graph of this distribution: