Example 3

A vacation resort offers bicycles and personal watercrafts for rent. The resort’s manager made the following notes about rentals:
  • customers rented items in all— rented bicycles and rented personal watercrafts.
  • Of the personal watercraft customers, customers were young (30 years old or younger) and customers were older (31 years old or older).
  • of the customers were age 30 or younger. of these customers rented bicycles, and of them rented personal watercrafts.
Consider the following events that apply to a random customer. : The customer is young (30 years old or younger). : The customer rents a personal watercraft. Are and independent? Compare and and interpret the results.
  1. Determine if and are independent.
  2. Compare and .
  3. Interpret the results.
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