(1 pt) On average 64 % of Finite Mathematics students spend some time in the Mat

Question

(1 pt) On average 64 % of Finite Mathematics students spend some time in the Mathematics Department's resource room. Half of these students spend more than 90 minutes per week in the resource room. At the end of the sernester 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 and whether they passed or falied im At the end of the sete Mathematcs Departments Time spent in resource room|Pass % None 31 Between 1 and 90 minutes 52 More than 90 minutes 75 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? Answer:

Explanation / Answer

P(not pass the course)=P(did nt study in resource room and did not pass+did study in resource room less than 90 minutes and did not pass+did study in resource room more than 90 minutes and did not pass)

=0.36*(1-0.31)+0.32*(1-0.52)+0.32*(1-0.75)=0.482

hence P(did not study in resource room|not pass the course)

=P(did nt study in resource room and did not pass)/P(did not pass) =0.36*(1-0.31)/0.482 =0.5154

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