**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...

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At a local college, 32% of students are enrolled in a statistics course and 45% of students are enrolled in an accounting course. Also, 16% of students are enrolled in both statistics and accounting 1. What is the probability that a randomly selected student is in statistics or accounting. 2. What is the probability that a randomly selected student is in accounting, given that they are in statistics. 3. What is the probability that a randomly selected accounting student is in statistics. 4. What is the probability that a randomly selected student is not in either course.
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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
Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 5 passengers per minute. 1. What is the probability of 2 arrivals in a 1-minute period? 2. What is the probability of no arrivals in a 1-minute period? 3. What is the probability of one arrival in a 1-minute period? 4. What is the probability of at most one arrival in a 1-minute period?

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