Of the students who choose to live on campus at Coastal College, $10$% are seniors. The most desirable dorm rooms are in the newly constructed OceanView dorm, and $60$% of the seniors live there, while $20$% of the rest of the students live there.  

1. Represent these probabilities in a two-way table.

   Step (a):

   	Ocean View	Not Ocean View
   Senior	$(0.60)(0.10)=\mathbf{0.06}$		$0.10$
   Not Senior	$(0.20)\mathbf{(0.90)}=\mathbf{0.18}$
   			$1.00$

2. What is the probability that a randomly selected resident of the OceanView dorm is a senior?

   Hint (b):

    Compare the percentage of seniors who live in OceanView to the percentage of total students who live in OceanView.

   Answer (b):

   $25\%$

3. Use the alternative definition of independence (see the Math Notes box in Lesson 10.2.3) to determine if being a senior is associated with living in the Ocean View dorm.

   Hint (c):

   If events $\text{A}$ and $\text{B}$ are independent, then $\text{P}(\text{A and B})=\text{P}(\text{A})·P(\text{B})$.
   The converse of this statement is also true: $\text{P}(\text{A and B})=\text{P}(\text{A})·P(\text{B})$, then $\text{A}$ and $\text{B}$ are independent.