Question 1

Which of the following best describes the main focus of the College Mathematics (MA 107) course as outlined in the syllabus?

Accepted Answer

To study combinations, permutations, probability, and statistics with an emphasis on understanding basic concepts.

Question 2

A student is absent from a scheduled quiz without an official excuse. According to the syllabus, what is the consequence?

Accepted Answer

The student receives a zero for the quiz.

Question 3

Which of the following is a key student learning goal for MA 107?

Accepted Answer

To think critically and logically through real-life problems using probability and statistics.

Question 4

If a student misses one major test with a legitimate, official excuse, how is the grade for the missed test determined?

Accepted Answer

The average of the other test grades is used as a replacement.

Question 5

Which formula would you use to calculate the number of ways to arrange 5 different books on a shelf?

Accepted Answer

$$5!$$

Question 6

A committee of 3 is to be chosen from 8 people. Which formula gives the number of possible committees?

Accepted Answer

$$\frac{8!}{3!5!}$$

Question 7

Which of the following best describes a discrete probability distribution?

Accepted Answer

A distribution where outcomes are countable and each outcome has a probability between 0 and 1, and the sum of all probabilities is 1.

Question 8

Suppose the probability of rain tomorrow is 0.3. What is the probability that it will not rain?

Accepted Answer

$$0.7$$

Question 9

Which formula is used to find the probability of two independent events A and B both occurring?

Accepted Answer

$$P(A) 	imes P(B)$$

Question 10

A normal distribution is characterized by which two parameters?

Accepted Answer

Mean and standard deviation

Question 11

If a student receives scores of 80, 85, and 90 on three tests, what is the mean score?

Accepted Answer

$$85$$

Question 12

Which of the following is NOT a requirement for a probability distribution?

Accepted Answer

Probabilities can be negative.

Question 13

A bag contains 4 red balls and 6 blue balls. If one ball is drawn at random, what is the probability it is red?

Accepted Answer

$$\frac{4}{10}$$

Question 14

Which of the following best describes the empirical rule for normal distributions?

Accepted Answer

About 68% of data falls within one standard deviation of the mean.

Question 15

If $$P(A) = 0.4$$ and $$P(B) = 0.5$$ and A and B are mutually exclusive, what is $$P(A \cup B)$$?

Accepted Answer

$$0.9$$

Question 16

Which of the following is the formula for the standard deviation of a population?

Accepted Answer

$$\sqrt{\frac{\sum (x_i - \mu)^2$}{N}}$$

Question 17

A student claims that the probability of rolling a 3 on a fair six-sided die is $$\frac{1}{3}. Is $$this correct?

Accepted Answer

No, the correct probability is $$\frac{1}{6}.$$

Question 18

Which of the following is an example of a real-life application of permutations?

Accepted Answer

Arranging runners in a race to determine 1st, 2nd, and 3rd place.

Question 19

If a student has 3 unexcused absences, what is the maximum number of additional unexcused absences allowed before being dropped from the course?

Accepted Answer

3

Question 20

Which of the following best describes the difference between a permutation and a combination?

Accepted Answer

Permutations consider order; combinations do not.

College Mathematics (MA 107) – Syllabus and Course Overview for Statistics

Study Guide - Practice Questions