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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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