A vacation resort offers bicycles and personal watercrafts for rent. The resort’s manager made the following notes about rentals:
[list]
[*][math]200[/math] customers rented items in all—[math]100[/math] rented bicycles and [math]100[/math] rented personal watercrafts.
[*]Of the personal watercraft customers, [math]75[/math] customers were young (30 years old or younger) and [math]25[/math] customers were older (31 years old or older).
[*][math]125[/math] of the [math]200[/math] customers were age 30 or younger. [math]50[/math] of these customers rented bicycles, and [math]75[/math] of them rented personal watercrafts.
[/list]
Consider the following events that apply to a random customer.
[math]Y[/math]: The customer is young (30 years old or younger).
[math]W[/math]: The customer rents a personal watercraft.
Are [math]Y[/math] and [math]W[/math] independent? Compare [math]P(Y \vert W)[/math] and [math]P(W \vert Y)[/math] and interpret the results.
