A survey of residential college students at a large university revealed the fol- lowing breakdown of whether their major is in STEM or not and whether the students were living in a single room or not. STEM Not STEM Single room 75 62 Not single room 113 207 Find the probability that a randomly selected student from the survey: (a) Has a major in STEM. (b) Has a major in STEM and a single room. (c) Has a major in STEM given that they have a single room. (d) Does not have a single room given they have a major not in STEM. A total of 108 students lled out a survey for a psychology class project. A total of 36 students indicated they were athletes. Of those students, 21 said they preferred to work out in the morning as opposed to the afternoon. For the nonathletes, 25 said they preferred to work out in the morning. Find the following probabilities for a randomly selected student who took the survey: (a) P(Athlete given prefer morning workout). (b) P(Prefer morning workout given nonathlete). (c) P(Nonathlete given prefer nonmorning workout)