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IC recently analyzed data to evaluate the Finish in 4 programs. The following data connecting GPAand years to graduation is provided in the table. GPAis

  1. IC recently analyzed data to evaluate the Finish in 4 programs. The following data connecting GPAand years to graduation is provided in the table. GPAis divided into twogroups: Students with GPA'sabove 3 and less than 3. Graduation time is also divided into twogroups: Students who graduatewithin4yearsandthosewhograduateinmorethan4years.

4 YearsorLess More Than4Years Total

GPA 3.0 0.4 0.08 0.48

GPA<3.0 0.25 0.27 0.52

Total 0.65 0.35 1

  1. What is the probability that a student graduates within 4 years and has a GPAabove3.0?
  2. Given that someone has a GPAabove 3.0, what is the probability that the student graduates within 4years?
  3. AretheeventsGPA3.0andGraduatein4yearsorlessindependent?Showyourwork.

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