Question

In: Statistics and Probability

Use the chart of data below to answer the following questions. This data represents enrollment for...

Use the chart of data below to answer the following questions. This data represents enrollment for the Fall semesters 2013 – 2017 years.

  • Part a: Is being part time dependent upon gender?
  • Part b: Is the probability of being a male student enrolled (or female) dependent upon year?
  • Part c: Create a probability tree, with the appropriate probabilities using the data from the table. Assume the tree is showing the PT or FT probabilities given the gender of the student.
  • Part d: What is the probability that a part time student is female? Use the Bayes’ theorem to answer the question. Verify your answer using the table data, but your work should follow Bayes’ theorem for full credit.

Male Students

Female Students

M - PT

M - FT

F - PT

F - FT

Fall 2017

3,357

12,413

2,608

9,264

Fall 2016

3,392

11,891

2,545

8,965

Fall 2015

3,271

10,656

2,386

8,241

Fall 2014

3,097

10,007

2,406

7,585

Fall 2013

2,957

8,998

2,230

7,008

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