Textbook Question
5. Which event(s) in Exercise 4 can be considered unusual? Explain your reasoning.
Ch. 3 - Probability
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
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Table of contents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Not the one you use?Change textbook
Chapter 3, Problem 3.T.4a
4. The table on the left shows the secondary school student enrollment levels (in thousands by grade) in Oklahoma and Texas schools in a recent year. (Source: U.S. Nation
for Education Statistics)
A student in one of the indicated grades and states is randomly selected. Find the probability of selecting a student who
a. is in ninth grade.
Verified step by step guidance1
Step 1: Understand the problem. We are tasked with finding the probability of selecting a student who is in ninth grade. Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
Step 2: Identify the relevant data from the table. The total number of students in ninth grade across Oklahoma and Texas is 489.5 thousand, and the total number of students across all grades is 1758.6 thousand.
Step 3: Write the formula for probability. The probability of selecting a ninth-grade student is given by: P(Ninth Grade) = (Number of Ninth Grade Students) / (Total Number of Students).
Step 4: Substitute the values into the formula. Using the data from the table, substitute 489.5 for the number of ninth-grade students and 1758.6 for the total number of students.
Step 5: Simplify the fraction or perform the division to calculate the probability. This step involves dividing 489.5 by 1758.6 to find the probability, but the final numerical result is not calculated here.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Probability
Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it refers to the chance of randomly selecting a student from a specific grade, such as ninth grade, from the total student population. The probability can be calculated by dividing the number of students in the desired category by the total number of students.
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Introduction to Probability
Total Enrollment
Total enrollment refers to the sum of students across all grades in a given state. In the provided table, the total enrollment for each state and overall is crucial for calculating probabilities. For example, to find the probability of selecting a ninth-grade student, one must know the total number of students enrolled in all grades combined.
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Guided course
06:21Step 1: Write Hypotheses
Relative Frequency
Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations. In this scenario, it helps in understanding how the number of ninth-grade students compares to the total student population. This concept is essential for interpreting the probability of selecting a student from a specific grade.
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06:38Intro to Frequency Distributions
Related Practice
Textbook Question
Your dorm enters 15 out of 65 plastic numbered ducks in a duck race. The ducks are all dumped into a stream and drift to the finish line. What is the probability that three of your dorm's ducks finish first, second, and third?
Textbook Question
5. Use technology to randomly select two numbers from 1 to 6. Find the sum and subtract 1 to obtain a total.
a. What is the theoretical probability of each total from 1 to 11?
b. Use this procedure to select 100 totals from 1 to 11. Tally your results and compare them with the probabilities in part (a).
Textbook Question
7. There are 16 students giving final presentations in your history course.
b. Presentation subjects are based on the units of the course. Unit B is covered by three students, Unit C is covered by five students, and Units A and D are each covered by four students. How many presentation orders are possible when presentations on
the same unit are indistinguishable from each other?
Textbook Question
4. The table on the left shows the secondary school student enrollment levels (in thousands by grade) in Oklahoma and Texas schools in a recent year. (Source: U.S. Nation
for Education Statistics)
A student in one of the indicated grades and states is randomly selected. Find the probability of selecting a student who
d. is enrolled in Texas, given that the student is in twelfth grade.
Textbook Question
2. How many possible variations are there in Mozart's Musical Dice Game minuet? Explain.