On average 66% of Finite Mathematics students spend some time in the Mathematics

Question

On average 66% of Finite Mathematics students spend some time in the Mathematics Departments resource room. Half of these students spend more than 90 minutes per week in the resource room. At the end of the semester the students in the class were asked how many minutes per week they spent in the resource room and whether they passed or failed. The passing rates are summarized in the following table: If a randomly chosen student did not pass the course, what is the probability that he or she did not study in the resource room?

Explanation / Answer

If randomly selected student did not pass the course, then the probability that he or she didn't study in the resource room=

1- probability that he didn't study in the resource room &pass

=1- 0.31

=0.69

Answer=0.69

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