For a student project, 130 students were surveyed. Of the students who were surv
ID: 3196722 • Letter: F
Question
For a student project, 130 students were surveyed. Of the students who were surveyed, 53 were women and 2 of those women were graduate students. 50 of the men surveyed were undergraduates.
a. Find the probability that a student is a woman who is an undergraduate.
StartFraction 51 Over 130 EndFraction
(Answer as a simplified fraction.)
b. Find the probability that a student is a man who is a graduate student.
StartFraction 27 Over 130 EndFraction
(Answer as a simplified fraction.)
c. Find the probability that a student is a man or a graduate student.
StartFraction 79 Over 130 EndFraction
(Answer as a simplified fraction.)
d. Find the probability that a student is a woman or is an undergraduate.
StartFraction 103 Over 130 EndFraction
(Answer as a simplified fraction.)
Explanation / Answer
probability = favorable outcome/ total outcome
For a student project, 130 students were surveyed. Of the students who were surveyed, 53 were women and 2 of those women were graduate students. 50 of the men surveyed were undergraduates.
Women = 53
Graduate Women = 2
Undergraduate Women = 53-2 = 51
Men = 130 - 53 = 77
UnderGraduate Men = 50
Graduate men = 77-50 = 27
a. Find the probability that a student is a woman who is an undergraduate.
probability = UG women/ total people = 51/130
b. Find the probability that a student is a man who is a graduate student.
probability = Grad men/ total people = 27/130
c. Find the probability that a student is a man or a graduate student.
probability = (men + grad women) / total people = (77+2)/130 = 79/130
d. Find the probability that a student is a woman or is an undergraduate.
probability = (women + undergrad men) / total people = (53+50)/130 = 103/130
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