Question 1

Which of the following best describes the correlation coefficient $$r$$?

Accepted Answer

It measures the strength and direction of a linear relationship between two variables.

Question 2

What is the range of possible values for the correlation coefficient $$r$$?

Accepted Answer

$$-1 \leq r \leq 1$$

Question 3

Which of the following is NOT a type of probability?

Accepted Answer

Conditional probability

Question 4

A probability experiment consists of rolling a fair 6-sided die. What is the probability of rolling an even number?

Accepted Answer

$$\frac{1}{2}$$

Question 5

Which of the following is a condition for a discrete probability distribution?

Accepted Answer

The sum of all probabilities is 1.

Question 6

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 7

Which of the following is an example of a continuous random variable?

Accepted Answer

The time it takes to run a marathon.

Question 8

A binomial experiment has $$n = 10$$ trials and probability of success $$p = 0.3. $$What is the expected value (mean) of successes?

Accepted Answer

$$3$$

Question 9

Which of the following best describes the complement of an event $$E$$?

Accepted Answer

All outcomes in the sample space that are not in $$E.$$

Question 10

In a jury selection pool, 65% of the people are female. Of these, one out of four works in a health field. What is the probability that a randomly selected person is female and works in a health field?

Accepted Answer

$$0.1625$$

Question 11

Which of the following is a key difference between independent and dependent events?

Accepted Answer

For independent events, the occurrence of one does not affect the probability of the other.

Question 12

If $$P(A) = 0.3$$, $$P(B) = 0.4$$, and $$P(A \cap B) = 0.12$$, what is $$P(A|B)$$?

Accepted Answer

$$0.12 / 0.4 = 0.3$$

Question 13

Which of the following is NOT a requirement for a binomial experiment?

Accepted Answer

Each trial has more than two possible outcomes.

Question 14

A deck of 52 cards contains 12 face cards. What is the probability of drawing a face card?

Accepted Answer

$$\frac{12}{52}$$

Question 15

Which of the following best describes the law of large numbers?

Accepted Answer

As the number of trials increases, the experimental probability approaches the theoretical probability.

Question 16

If $$P(A) = 0.5$$ and $$P(B) = 0.3$$ and $$A$$ and $$B$$ are independent, what is $$P(A \cap B)$$?

Accepted Answer

$$0.15$$

Question 17

Which of the following is a real-world example of a situation where the regression line is not meaningful?

Accepted Answer

Predicting the price of a Disney World ticket in the year 1800 using a model based on data from 1996 onward.

Question 18

Which formula is used to calculate the variance of a discrete probability distribution?

Accepted Answer

$$\$$sigma^2$$ = \sum [ (x - \mu)^2$ \cdot P(x) ]$$

Question 19

Which of the following is the correct formula for the mean of a binomial distribution with $$n$$ trials and probability $$p of $$success?

Accepted Answer

$$\mu = n p$$

Question 20

A license plate consists of 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?

Accepted Answer

$$26^3$$ 	imes $$10^3$$

Introductory Statistics Study Guide: Probability, Correlation, and Regression

Study Guide - Practice Questions

Study Guide - Flashcards