Lincoln Union High School District is made up of three high schools: Monterey, F

Question

Lincoln Union High School District is made up of three high schools: Monterey, Fremont, and Kennedy, with an enrollment of 500, 300, and 200, respectively. On a given day, the percentage of students absent at Monterey High School is 6%, at Fremont 4%, and at Kennedy 5%. If a student is chosen at random, find the probabilities below: Hint: Convert the enrollments into percentages.

a) P(the student is absent)

b) P(student is from Kennedy | student is absent)

c) P(student is absent | student is from Fremont)

Lincoln Union High School District is made up of three high schools: Monterey, Fremont, and Kennedy, with an enrollment of 500, 300, and 200, respectively. On a given day, the percentage of students absent at Monterey High School is 6%, at Fremont 4%, and at Kennedy 5%. If a student is chosen at random, find the probabilities below: Hint: Convert the enrollments into percentages.

a) P(the student is absent)

b) P(student is from Kennedy | student is absent)

c) P(student is absent | student is from Fremont)

Explanation / Answer

Monterey high scholl percentage = 500/1000*100

=50 %

Fremont high school percentage = 30 %

Kennedy high school percentage = 20 %

Probability that the student absent is p(e) = 15/100

= 0.15

probability that the student absent in Kennedy is = 5/15

=0.3333

probability that the student absent in Fremont is = 4/15

= 0.2667

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