A developer is launching their new developments for two types of housing. During the launching, the sales representatives will show and explain the show units for both types of housing to the customers. To provide better services, the management asked the sales representatives to record their customers’ satisfactions on their preferable type of housing by using the following codes and scales:

The following are the sample record provided by their customers:
Housing Code Satisfaction Housing Code Satisfaction B 3 B 2 B 2 A 3 A 1 A 2 B 2 B 3 A 3 B 1 A 3 B 1 A 2 A 3 B 1 A 2 B 3 B 3 B 2 B 2

a. Construct two separate distributions for each of the variables with their respective frequency and relative frequency.

b. Construct a joint frequency distribution for these two variables.

c. Construct a joint relative frequency distribution for these two variables and write a short report for the distribution.

Housing Code A = Apartment B = Tower block Satisfaction 1 = Low 2 = Medium 3 = High