Hospitals. Refer to Problems 15 and 16 .

a. In view of your answer to Problem 16(b), without doing any further calculations, respond true or false to the following statement and explain your answer: "The conditional distributions of facility type within control types are identical.

b. Obtain the conditional distributions of facility type within control types.

c. Find the marginal distribution of facility type.

a. Determine the data type represented in the table's first column.

The table below shows the five largest hydroelectric facilities in the world by installed capacity. The "Rank" of the largest hydroelectric plants is represented in the first column of the table. The data is numerically recorded here. As a result, Rank is a numerical variable. The values of the variable "Rank possible" can also be listed. It is therefore a discrete variable.

As a result, Rank is the variable in question, and it is a quantitative, discrete data type.

b. Determine the data type represented in the table's fourth column.

The fourth column in the table shows the "Capacity" of each plant in megawatts. The data is numerically recorded here. As a result, capacity is a numerical variable. Furthermore, the number interval is created by the various values of the variable "Capacity." It is therefore a continuous variable.

As a result, Capacity is the variable under consideration. It's also a continuous, quantitative data type.

C. Determine the data type shown in the third column of the table.

The "Country" is represented in the table's third column. Nonnumerical information is represented by the data. As a result, "Country" is considered a qualitative variable.

As a result, the variable in question is Country, which is a qualitative data type.