MATH 3023-HW #2 1. Consider a randomly selected group of 150 students. Suppose 3

Question

MATH 3023-HW #2 1. Consider a randomly selected group of 150 students. Suppose 36 students are majoring biology and 20 students major both biology and chemistry. Assume that 55 students are majoring chemistry. Answer the following questions. a) How many students are from other majors? b) What is the probability that a randomly selected student is majoring only chemistry? What is the probability that a randomly selected student is a chemistry major? c) Following Venn diagram summarized the outcome of a survey conducted regarding the

Explanation / Answer

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1. Total students = 150
Bio and Chem major students = 36
Chem major = 55

a. students majoring in other subjects
= total students - majoring in either Chem & Bio
=150-(36+55-20)
=79

b. P(majoring only chem)
= (total chem-both chem and bio)/total students
= (55-20)/150
=.2333

c. P(chem students) = total chem students/total students = 55/150 = .3667

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