Of the entering class at a college, 69% attended public high school, 25% attended private high school, and 6% were home schooled. Of those who attended public high school, 19% made the Dean's list, 18% 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 came from a public high school, given that the student made the Dean's list.c) Find the probability that the student was not home schooled, 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 came from a public high school, 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 was not home schooled, 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.)BICEERD