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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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.)
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