Suppose that you conducted a study of 150 elementary school students. You wanted to find out if they were homeschooling, hybrid learning, or full-time schooling in Spring 2020 and Fall 2020. The following are the results. Spring Full- Time Spring Spring Total Homeschool Hybrid Fall 30 18 48 Homeschool Fall Hybrid 14 43 3 60 Fall Full 17 16 42 Time Total 61 77 12 150 Use the contingency table to answer the following questions. Show all of your work using fractions. You may use a calculator to calculate the final answer. Round to three decimal places. a. What is the probability that a student was in home school in the Fall? b. What is the probability that a student was in home school in Fall or Spring? c. What is the probability the student was in home school in Fall and Spring? d. What is the probability that a student was in home school in Fall given that they were in homeschool in Spring? e. What is the probability that a student was in home school in Spring given that they were in homeschool in Fall?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose that you conducted a study of 150 elementary school students. You wanted to find
out if they were homeschooling, hybrid learning, or full-time schooling in Spring 2020 and Fall
2020. The following are the results.
Spring Full-
Time
Spring
Spring
Total
Homeschool Hybrid
Fall
30
18
48
Homeschool
Fall Hybrid
14
43
3
60
Fall Full
17
16
42
Time
Total
61
77
12
150
Use the contingency table to answer the following questions. Show all of your work using
fractions. You may use a calculator to calculate the final answer. Round to three decimal places.
a. What is the probability that a student was in home school in the Fall?
b. What is the probability that a student was in home school in Fall or Spring?
c. What is the probability the student was in home school in Fall and Spring?
d. What is the probability that a student was in home school in Fall given that they were in
homeschool in Spring?
e. What is the probability that a student was in home school in Spring given that they were
in homeschool in Fall?
Transcribed Image Text:Suppose that you conducted a study of 150 elementary school students. You wanted to find out if they were homeschooling, hybrid learning, or full-time schooling in Spring 2020 and Fall 2020. The following are the results. Spring Full- Time Spring Spring Total Homeschool Hybrid Fall 30 18 48 Homeschool Fall Hybrid 14 43 3 60 Fall Full 17 16 42 Time Total 61 77 12 150 Use the contingency table to answer the following questions. Show all of your work using fractions. You may use a calculator to calculate the final answer. Round to three decimal places. a. What is the probability that a student was in home school in the Fall? b. What is the probability that a student was in home school in Fall or Spring? c. What is the probability the student was in home school in Fall and Spring? d. What is the probability that a student was in home school in Fall given that they were in homeschool in Spring? e. What is the probability that a student was in home school in Spring given that they were in homeschool in Fall?
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