Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Size of the Group Probability the Group will Vote for Ryuji Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number Is Ryuji expected to win? Yes O No

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school,
Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the
volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students
will vote. The size of each group and the chance that the group would vote for Ryuji are given below.
Probability the Group
will Vote for Ryuji
Size of the Group
Group
(in percent of athletes)
Track and Field
47%
76%
Volleyball
33%
44%
Baseball
20%
43%
The percentage of votes Ryuji is expected to get is
Number
%.
Is Ryuji expected to win?
Yes
O No
Transcribed Image Text:Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O No
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