Math Solutions

(See Solution) Five hundred first-year students at a state university were classified both according to high school GPA and whether or not they were on

Question: Five hundred first-year students at a state university were classified both according to
high school GPA and whether or not they were on academic probation at the end of their first semester.

High School GPA
Probation 2.5 - <3.0 3.0 - <3.5 3.5 and above Total
Yes 50 55 30 135
No 45 135 185 365
Total 95 190 215 500
  1. Use the table to determine the probability that a randomly selected first-year student
    will be on academic probation at the end of the first semester.
  2. What is the probability that a randomly selected first-year student had a High School
    GPA of 3.5 or above?
  3. Are the outcomes selected student has a High School GPA of 3.5 or above and selected
    student is on academic probation at the end of first semester independent? How can
    you tell?
  4. What is the probability that a first-year student will have a High School GPA of
    between 2.5 and 3.0 and will also be on academic probation at the end of the first
    semester of college?
  5. What is the probability that a first year student will have a High School GPA of 3.5 or
    above and will not be on probation at the end of first semester of college?

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Deliverable: Word Document


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