**Study Guide: Understanding Probability with Data Tables****Question 8 Overview:**In a class of students, we have a data table that summarizes how many students passed a test and completed the homework due the day of the test. The goal is to find the probability that a student chosen randomly from the class failed the test.**Data Table Explanation:**The table below shows the distribution of students based on their performance in a test and their completion of homework:| | Passed the test | Failed the test ||----------------------|-----------------|-----------------|| Completed the homework | 14 | 3 || Did not complete the homework | 2 | 4 |**Using the Data Table:**1. **Identify Total Number of Students**: - **Completed the homework:** 14 (passed) + 3 (failed) = 17 students - **Did not complete the homework:** 2 (passed) + 4 (failed) = 6 students - **Total number of students:** 17 (completed homework) + 6 (did not complete homework) = 23 students2. **Calculate Total Number of Students Who Failed the Test**: - Students who failed the test: 3 (completed homework) + 4 (did not complete homework) = 7 students3. **Calculate the Probability**: - Probability that a student chosen randomly failed the test = (Number of students who failed the test) / (Total number of students) - Probability = 7 / 23Thus, the probability that a randomly chosen student from this class failed the test is **7/23**. Use this table to understand how different datasets and conditional probabilities work in practice. This example showcases the practical application of probability and data interpretation in a classroom setting.

Passes the testFailed the testCompleted the homework143Didnot complete the homework24

Answered: 8. In a class of students, the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

According to a study 20% of corporate officers are women. Suppose that you select a random sample of 250 corporate officers. What is the probability that in the sample, less than 15% of corporate officers will be women?
Please help me solve this statistics problem from my lecture. Thank you.
I have a compound probability question.
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat or a dog? Has a dog Does not have a dog Has a cat 9 6 Does not have a cat 2 11
69% percent of U.S. college graduates expect to stay at their first employer for three or more years. You randomly select 18 U.S. college graduates and ask them whether they expect to stay at their first employer for three or more years. Find the probability that the number who expect to stay at their first employer for three or more years is (a) exactly 10, (b) less than 7 and (c) at least 15. Identify any unusual events. Explain and show work.
Sixty percent of clowns aren’t funny. If you randomly encounter three different clowns, what is the probability that none of them are funny?
A study asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in the table.
Answer this question correctly deals with probability of simple events.
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
hello experts, please help :D
The chance of having a sister or a brother is equally likely. If you have four siblings, there are sixteen equally likely outcomes possible. Create a Probability Distribution to the outcomes based on the total number of sisters given you have 4 siblings Total Number of Sisters ..Probability .. List your outcomes (Total Number of Sisters) from least to greatest. Represent the probabilities using 4 decimal places
Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various combinations. When all dice show the same number, it’s called Yahtzee and scores 50 points for the first one and 100 points for each successive Yahtzee in the game. a. What is the probability that a person throws a Yahtzee on the very first roll? b. What is the probability that a person throws two Yahtzees on two consecutive rolls?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS