In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and II supply respectively 45%, 30%, and 25% of the students. The failure rate of students is 2%, 3%, and 4%, respectively. a. Determine the probability that a randomly selected student will not fail? b. Given that a student does not fail, what is the probability that he or she came from school I?

In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and II supply respectively 45%, 30%, and 25% of the students. The failure rate of students is 2%, 3%, and 4%, respectively. a. Determine the probability that a randomly selected student will not fail? b. Given that a student does not fail, what is the probability that he or she came from school I?

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Description: In the current first-year class of a community college, all the students come from three localhigh schools. Schools I, II, and III supply respectively 45%, 30%, and 25% of the students. The failurerate of students is 2%, 3%, and 4%, respectively.a.

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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In the current first-year class of a community college, all the students come from three local
high schools. Schools I, II, and III supply respectively 45%, 30%, and 25% of the students. The failure
rate of students is 2%, 3%, and 4%, respectively.
a. Determine the probability that a randomly selected student will not fail?
b. Given that a student does not fail, what is the probability that he or she came from school 1?

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