The University of Dar es Salaam College of Engineering offers various four year degree programs. The students in this college participate in several after-lectur activities, which can be classified into three types: athletics, fine arts, and others The following table gives the number of students participating in each of thes types of activities by grade: Year of Study Activities Athletics Fine arts Other Total 1st Year 150 100 125 375 2nd Year 3rd Year 160 90 140 390 140 120 150 410 4th Year 150 125 150 425 Total 600 435 565 1600 For the purposes of this example, we will assume that every student at the scho is in exactly one of these after-school activities. Consider each of the followir statements, and make sure that you see how each follows from the informatic in the table: 4. The College of Engineering has 410 middle-level students. 5. The total number of students is 1600. 1. There are 160-second year students participating in athletics. 2. The number of senior students participating in fine arts activities is 125 3. There are 435 students in fine arts activities. The principal at the College of Engineering selects students at random a invites them to have lunch with him to discuss various issues that might be concern to them. He feels that random selection will give him the greatest chan of hearing from a cross-section of the student body. Required: a) Find the probability that a randomly selected student is a senior athlet Assume that each student is equally likely to be selected
The University of Dar es Salaam College of Engineering offers various four year degree programs. The students in this college participate in several after-lectur activities, which can be classified into three types: athletics, fine arts, and others The following table gives the number of students participating in each of thes types of activities by grade: Year of Study Activities Athletics Fine arts Other Total 1st Year 150 100 125 375 2nd Year 3rd Year 160 90 140 390 140 120 150 410 4th Year 150 125 150 425 Total 600 435 565 1600 For the purposes of this example, we will assume that every student at the scho is in exactly one of these after-school activities. Consider each of the followir statements, and make sure that you see how each follows from the informatic in the table: 4. The College of Engineering has 410 middle-level students. 5. The total number of students is 1600. 1. There are 160-second year students participating in athletics. 2. The number of senior students participating in fine arts activities is 125 3. There are 435 students in fine arts activities. The principal at the College of Engineering selects students at random a invites them to have lunch with him to discuss various issues that might be concern to them. He feels that random selection will give him the greatest chan of hearing from a cross-section of the student body. Required: a) Find the probability that a randomly selected student is a senior athlet Assume that each student is equally likely to be selected
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Transcribed Image Text:Question 3
The University of Dar es Salaam College of Engineering offers various four years
degree programs. The students in this college participate in several after-lecture
activities, which can be classified into three types: athletics, fine arts, and others.
The following table gives the number of students participating in each of these
types of activities by grade:
Year of Study
1st Year 2nd Year 3rd Year
Activities
Athletics
Fine arts
Other
Total
150
100
125
375
160
90
140
390
140
120
150
410
4th Year
150
125
150
425
Total
600
435
565
1600
For the purposes of this example, we will assume that every student at the school
is in exactly one of these after-school activities. Consider each of the following
statements, and make sure that you see how each follows from the information
in the table:
4. The College of Engineering has 410 middle-level students.
5. The total number of students is 1600.
1. There are 160-second year students participating in athletics.
2. The number of senior students participating in fine arts activities is 125.
3. There are 435 students in fine arts activities.
The principal at the College of Engineering selects students at random and
invites them to have lunch with him to discuss various issues that might be of
concern to them. He feels that random selection will give him the greatest chance
of hearing from a cross-section of the student body.
Required:
a) Find the probability that a randomly selected student is a senior athlete.
Assume that each student is equally likely to be selected
Transcribed Image Text:b) Now suppose that the principal's secretary records not only the student's
name but also the student's level. The secretary has indicated that the
selected student is a senior. Does this information change our assessment
of the likelihood that the selected student is an athlete?
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