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At one liberal arts college, students are classified as humanities majors, science majors, or
undecided. The chances are 17% that a humanities major will change to a science major from
one year to the next, and 29% that a humanities major will change to undecided. A science major
will change to humanities with probability 0.36, and to undecided with probability 0.26. An
undecided will switch to humanities or science with probabilities of 0.23 and 0.21, respectively.
Find the long-range prediction for the fraction of students in each of these three majors. The
long-range prediction is humanities, science, undecided. (Round to three decimal places as
needed.)
Solution
humanities-38.45%
science-31.02%
undecided-30.53%

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See below At one liberal arts college, students are classified .pdf

  • 1. See below: At one liberal arts college, students are classified as humanities majors, science majors, or undecided. The chances are 17% that a humanities major will change to a science major from one year to the next, and 29% that a humanities major will change to undecided. A science major will change to humanities with probability 0.36, and to undecided with probability 0.26. An undecided will switch to humanities or science with probabilities of 0.23 and 0.21, respectively. Find the long-range prediction for the fraction of students in each of these three majors. The long-range prediction is humanities, science, undecided. (Round to three decimal places as needed.) Solution humanities-38.45% science-31.02% undecided-30.53%