Campus Login C Chegg Study GuldeRegilesme ALEKS HELP WORKSHEET INBOX I REPOR Dic

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Campus Login C Chegg Study GuldeRegilesme ALEKS HELP WORKSHEET INBOX I REPOR Dictiona Calculator Assignments Book Gradebook pie Review Suppose that a certain college class contains 37 students. Of these, 21 are sophomores, 21 are chemistry majors, and 7 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a chemistry major? (b) Given that the student selected is a sophomore, what is the probability that he is also a chemistry major? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) D (b)I Clear Undo Help Next >> Explain

Explanation / Answer

n(S or C)' = 7
n(S or C) = 37 - n(S or C)' = 30

n(S and C) = n(S) + n(C) - n(S or C)
= 21 + 21 - 30
= 12

a)
P(S and C) = n(S and C)/37 = 12/37 = 0.3243

b)
P(C|S) = P(C and S)/P(S) = 12/21 = 4/7 = 0.5714

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