Of the entering class at a college, 75% attended public high school, 16% attended private high school, and 9% were home schooled. Of those who attended public high school, 18% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 17% of those who were home schooled made the Dean's list. A student is randomly chosen. a) Find the probability that the student made the Dean's list. b) Find the probability that the student was home schooled, given that the student made the Dean's list. c) Find the probability that the student did not attend public high school, given that the student did not make the Dean's list. a) The probability that the student made the Dean's list is (Do not round until the final answer. Then round to four decimal places as needed.) b) The probability that the student was home schooled, given that the student made the Dean's list, is. (Do not round until the final answer. Then round to four decimal places as needed.) c) The probability that the student did not attend public high school, given that the student did not make the Dean's list, is

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
icon
Related questions
Question
Please read question carefully and write neatly and circle the answers
Of the entering class at a college, 75% attended public high school, 16% attended private high school, and 9% were home schooled. Of those who attended public
high school, 18% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 17% of those who were home schooled made the
Dean's list. A student is randomly chosen.
a) Find the probability that the student made the Dean's list.
b) Find the probability that the student was home schooled, given that the student made the Dean's list.
c) Find the probability that the student did not attend public high school, given that the student did not make the Dean's list.
a) The probability that the student made the Dean's list is
(Do not round until the final answer. Then round to four decimal places as needed.)
b) The probability that the student was home schooled, given that the student made the Dean's list, is.
(Do not round until the final answer. Then round to four decimal places as needed.)
c) The probability that the student did not attend public high school, given that the student did not make the Dean's list, is
(Do not round until the final answer. Then round to four decimal places as needed.)
Transcribed Image Text:Of the entering class at a college, 75% attended public high school, 16% attended private high school, and 9% were home schooled. Of those who attended public high school, 18% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 17% of those who were home schooled made the Dean's list. A student is randomly chosen. a) Find the probability that the student made the Dean's list. b) Find the probability that the student was home schooled, given that the student made the Dean's list. c) Find the probability that the student did not attend public high school, given that the student did not make the Dean's list. a) The probability that the student made the Dean's list is (Do not round until the final answer. Then round to four decimal places as needed.) b) The probability that the student was home schooled, given that the student made the Dean's list, is. (Do not round until the final answer. Then round to four decimal places as needed.) c) The probability that the student did not attend public high school, given that the student did not make the Dean's list, is (Do not round until the final answer. Then round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning