In a group of 425 surveyed students, 125 attend school part time while the remai

Question

In a group of 425 surveyed students, 125 attend school part time while the remaining attend full time Of those who attend part time, 110 commute to campus. However, only 157 of those who attend full time commute. Suppose one of these students is randomly selected. 30. What is the probability the student attends school part time? 31. If the selected student attends full time, what is the probability he or she commutes to campus? 32. Given that the student selected commutes to campus, what is the probability he or she attends part time?

Explanation / Answer

Here' how to solve the problem:

total = 425
attend part time = 125
commute to campus given they attend part time = 110
of full time , commute = 157
attend full time = total-attend part time = 425-125 = 300

30. P( attend part time) = 125/425 = .294

31. P( given attends full time, commutes to college) = 157/(425-125) = .5233

32. P( given commutes , attend part time)
= attend part time and commutes/total commuting
= 110/(110+157)
= .4119

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