Question 1

Which of the following best describes the sample space in a probability experiment?

Accepted Answer

The set of all possible outcomes.

Question 2

If the probability of an event occurring is $$0.01$$, which statement is most accurate?

Accepted Answer

The event is very unlikely to occur.

Question 3

A probability cannot be negative or greater than 1. Is this statement true or false?

Accepted Answer

True

Question 4

If the probability of an event is $$1$$, what does this imply?

Accepted Answer

The event is certain to occur.

Question 5

The probability of an individual having Type O blood is $$0.45. $$What is the probability of having a blood type other than O?

Accepted Answer

$$0.55$$

Question 6

Two events are dependent if:

Accepted Answer

The probability of the other occurring is changed.

Question 7

Two events are independent if:

Accepted Answer

The probability of the other occurring is unchanged.

Question 8

The multiplication rule for probability states that $$P(A 	ext{ and } B) = P(A) 	imes P(B). $$What must be true about events A and B for this rule to apply?

Accepted Answer

The events must be independent.

Question 9

An event A will occur with probability $$0.4. An $$event B will occur with probability $$0.6. $$The probability that both A and B occur is $$0.2. $$What can you conclude?

Accepted Answer

Events A and B are independent.

Question 10

Applicants for a job first submit a written application. Based on the written applications, $$40\% of $$the applicants are invited for a first interview. Of those that have a first interview, $$58\%$$ are rejected after the interview. What is the probability that a randomly selected applicant receives a first interview and is rejected after the interview?

Accepted Answer

$$0.232$$

Question 11

Given the following table of students in a first-grade class by age and gender:

Male: 5 years old: 2, 6 years old: 9, 7 years old: 1
Female: 5 years old: 2, 6 years old: 6, 7 years old: 0
Total students: 20

What proportion of the students are female and less than 6 years old?

Accepted Answer

$$2/20$$

Question 12

A person is selected at random. Decide if the events A and B are mutually exclusive or not mutually exclusive.
A: Their birthday is in the fall.
B: Their birthday is in October.

Accepted Answer

not mutually exclusive

Question 13

A survey revealed that $$31\% of $$people are entertained by reading books, $$39\%$$ are entertained by watching TV, and $$30\%$$ are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV?

Accepted Answer

$$0.60$$

Question 14

A survey of senior citizens at a doctor's office shows that $$52\%$$ take blood pressure-lowering medication, $$49\%$$ take cholesterol-lowering medication, and $$5\%$$ take both medications. What is the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication?

Accepted Answer

$$0.96$$

Question 15

A card is drawn from a standard deck of $$52$$ playing cards. What is the probability that the card is an ace or a black card?

Accepted Answer

$$15/52$$

Question 16

The distribution of Master's degrees conferred by a university is:
Mathematics: 240
English: 206
Business: 176
Education: 222
What is the probability that a randomly selected student with a Master's degree majored in English or Mathematics? Round your answer to three decimal places.

Accepted Answer

$$0.526$$

Question 17

Classify the variable as discrete or continuous: The temperature in degrees Fahrenheit on July 4th in Juneau, Alaska.

Accepted Answer

continuous

Question 18

Classify the variable as discrete or continuous: The number of phone calls to the attendance office of a high school on any given school day.

Accepted Answer

discrete

Question 19

Given the probability distribution:
$$x$$: 0, 1, 2, 3, 4
$$P(x)$$: $$1/27$$, $$3/27$$, $$7/27$$, $$9/27$$, $$7/27$$
What is the probability that $$x is $$greater than 1?

Accepted Answer

$$25/27$$

Question 20

Empirical evidence suggests that $$25\% of $$Florida drivers are uninsured. If four random Florida drivers are involved in an accident, what is the probability that more than one of them are uninsured?

Accepted Answer

$$0.26$$

Question 21

It has been estimated that $$40\% of $$marriages end in divorce. If you randomly select $$9$$ recently married couples, what is the probability that at least one of the marriages will end in divorce?

Accepted Answer

$$0.9899$$

Fundamental Probability and Statistics Concepts: Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards