Question 1

For the weighted voting system

W={q:P1,P2,P3,P4}={16:12, 6, 4, 2}.P2 and P3 have equal voting power.

A. True

B. False

Question 2

To ease the burden of the medical frontliners, the government is deploying 48 additional nurses to six of the major medical facilities in the National Capital Region (NCR). These nurses are to be apportioned based on the number of available hospital beds that are dedicated to CoViD-19 patients. The summary of data is shown below:

Using the Jefferson Method, how many new nurses will be apportioned to Hospital H5?

A. 8

B. 7

C. 5

D. 10

Question 3

Consider the weighted voting system {6:4,3,2} with corresponding voters A, B, and C.

What is the Banzhaf power index of C?

A. 0.1

B. 0.2

C. 0.6

D. 0.4

Question 4

A graph with at least one vertex and with no edges is called

A. complete graph

B. cycle

C. null graph

D. tree

Question 5

For the graph shown below, compute for the total weight of a Hamiltonian cycle using the Greedy Algorithm.

A. 22

B. 20

C. 21

D. 19

Question 6

Which of the following graphs is NOTplanar?

A. I only

B. I, II and III

C. I and III

D. I and II

Question 7

For the graph shown below, compute for the total weight of a Hamiltonian cycle using the Edge-Picking Algorithm.

A. 22

B. 21

C. 20

D. 19

Question 8

Which of the following is not a possible value of Pearson's correlations?

A. 0.0

B. -0.99

C. 1.6

D. 1.0

Question 9

A professor believed that there is a correlation between people's weights and number of times they eat out. He recorded a group of students' weights (measured in lbs.) and the number of times they ate out last week. The r value was 0.90. We can tell thatstudents' weights (measured in kilogram) and the number of times they ate out last week :

A. positively correlated

B. negatively correlated

C. perfectly correlated

D. not correlated

Question 10

In general, the Least Square Regression approach finds the equation

A. of the best fitting straight line through a set of points

B. with the highest R-squared, after comparing all models.

C. that includes the best set of predictor variables

D. that has the smallest sum of squared errors

Question 11

Determine the area under the normal curve that is between z = -1.97 and z = 0.86.

A. 0.0244

B. 0.8295

C. 0.7807

D. 0.8051

Question 12

If the z-score associated to a given raw score is equal to 0, then it means that

the raw score is extremely large

the raw score is the same as the mean

the raw score does not exist

the raw score equals 0

Question 13

The area under the curve of a probability distribution is

A. 0.5

B. 0

C. 1

D. 100