I need help with part D and Part E Suppose that you conducted a study of 150 elementary school students. You wanted to findout if they were homeschooling, hybrid learning, or full-time schooling in Spring 2020 and Fall2020. The following are the results.Spring Full-TimeSpringSpringTotalHomeschool HybridFall301848HomeschoolFall Hybrid1443360Fall Full171642TimeTotal617712150Use the contingency table to answer the following questions. Show all of your work usingfractions. 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 inhomeschool in Spring?e. What is the probability that a student was in home school in Spring given that they werein homeschool in Fall?

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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I need help with part D and Part E

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?

Expert Solution

Step 1

The probability that a student was in home school in fall given that they were in homeschool in spring is,

$P (h o m e s c h o o l i n f a l l | h o m e s c h o o l i n s p r i n g) = \frac{P (h o m e s c h o o l i n f a l l a n d h o m e s c h o o l i n s p r i n g)}{P (h o m e s c h o o l i n s p r i n g)} = \frac{\frac{30}{150}}{\frac{61}{150}} F r o m t h e g i v e n t a b l e = 0.4918$

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