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Probability and Statistics Exercises: Multiple-Choice Questions and Problems, Quizzes of Elements of Engineering Systems

A collection of multiple-choice questions and problems focused on fundamental concepts in probability and statistics. it covers topics such as sample space, probability calculations, dependent and independent events, and the application of probability rules to real-world scenarios. The exercises are suitable for reinforcing understanding of core probability principles and practicing problem-solving skills.

Typology: Quizzes

2024/2025

Available from 04/29/2025

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Question 1 1 / 1 point
Select the most appropriate response.
What is the set of all possible outcomes of a probability experiment?
Question options:
compliment
Venn diagram
sample space
events
Question
Select the most appropriate response.
If the computed probability of an event occurring is 0.01. Which of the
following statements is correct?
Question options:
The event is likely to occur.
We would expect the event to occur about one percent of the time
The event cannot occur.
All of the above.
Question
True or False.
A probability cannot be negative or greater than 1.
Question options:
True
False
Question
St. Petersburg College | STA 2023 – ELEMENTARYSTATISTICS | Module 1 Test | 2025-2026.
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n 1 1

Select the most appropriate response.

What is the set of all possible outcomes of a probability experiment?

Question options:

compliment Venn diagram sample space events on

Select the most appropriate response.

If the computed probability of an event occurring is 0.01. Which of the

following statements is correct?

Question options:

The event is likely to occur. We would expect the event to occur about one percent of the time The event cannot occur. All of the above. on

True or False.

A probability cannot be negative or greater than 1.

Question options:

True False on

St. Petersburg College | STA 2023 – ELEMENTARY

STATISTICS | Module 1 Test | 2025-2026.

True or False.

If the probability of an event is 1, the event is impossible.

Question options:

True False on

Find the indicated probability.

The probability of an individual having Type O blood is 0.45. What is

the probability of having a blood type other than O?

Question options:

on

Select the most appropriate response.

Two events are dependent if when one occurs:

Question options:

The probability of the other occurring is unchanged. The other event will always occur. The other will never occur.

Question options:

that events A and B are independent. that events A and B are dependent. that either A or B always occurs. that events A and B are mutually exclusive. on

Find the indicated probability.

A multiple-choice test has five questions with each question having five

answer choices. Only one of the choices is correct. You randomly guess

the answer to each question. What is the probability that you answer

the first two questions correctly?

Question options:

on

Find the indicated probability.

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?

Question options:

on Determine the following proportion. The following table categorizes the students in a first-grade class by age and gender. Age Gender 5 years old 6 years old 7 years old Totals Male 2 9 1 12 Female 2 6 0 8 Totals 4 15 1 20 What proportion of the students are female and less than 6 years old?

Question options:

Find the indicated probability.

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?

Question options:

on

Find the indicated probability.

A survey of senior citizens at a doctor's office shows that 52% take

blood pressure-lowering medication, 43% 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?

Question options:

on

Find the indicated probability.

A card is drawn from a standard deck of 52 playing cards. Find the

probability that the card is an ace or a black card.

Question options:

on

Find the indicated probability.

The distribution of Master's degrees conferred by a university is listed

in the table.

(assume that a student majors in only one subject)

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.

Question options:

on

continuous discrete on

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.

Question options:

discrete continuous on

Determine the probability distribution's missing value.

The probability that a tutor will see 0, 1, 2, 3, or 4 students over the

course of one hour is:

Question options:

on

Find the indicated probability.

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?

Question options:

on

Find the indicated probability.

A report from the Secretary of Health and Human Services stated

that 70% of single-vehicle traffic fatalities that occur at night on

weekends involve an intoxicated driver. If a random sample of 15

single-vehicle traffic fatalities that occur at night on a weekend is

selected, find the probability that 11 involve a driver who is intoxicated.

Question options:

on

Find the indicated probability.