The following contingency table was created using the above SAS code. There are four classes of customers (Cust_class) based on the total amount of sales and there are three classes of customers (Cust_class2) based on the number of months after the last sales. Cust_class is defined by the following SAS code:

data rank1_cust ; set totalsalesbyid ; if totalsales < 294 then cust_class = 1 ; if 294 <= totalsales < 648 then cust_class = 2 ; if 648 <= totalsales < 1612 then cust_class = 3 ; if totalsales >= 1612 then cust_class = 4 ; run ;

We find the following contingent table from PROC FREQ output from SAS.

Table of cust_class by cust_class2
	cust_class2	Total
A. le 2 month	B. 2-6 month	C. gt 6 month
cust_class		1030	23	0	1053
1	Frequency
2	Frequency	936	156	0	1092
3	Frequency	484	591	18	1093
4	Frequency	119	571	403	1093
		2569	1341	421	4331
Total	Frequency

Find the following probabilities Using the output:

1. The probability that a customer shop more than 6 months

2. The probability that the customers bought more than or equal to 294 dollars

3. The probability that the customers shop more than or equal to two months who bought less than 648 dollars.

4. The probability that the customers bought more than or equal to 1612 dollars and shopped more than 2 month ago.