At a particular college for nursing, 89% of incoming freshmen nursing students are female and 11% are male. The past 5 years' history records indicate that 64% of the entering female students will graduate with a BSN degree, while 80% of the male students will obtain a BSN degree. If a randomly selected freshman nursing student is selected, find the following probabilities. (Enter your answers to three decimal places.)a) P(student will graduate | student is female)

b) P(student will graduateandstudent is female)

c) P(student will graduate | student is male)

d) P(student will graduateandstudent is male)

e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate.

f). The events described by the phrases "will graduate and is female" and "will graduate, given female" seem to be describing the same students. Why are the probabilities P(will graduate and is female) and P(will graduate | female) different?

• The termandrefers to the sample space of all students, while the termgivenrefers to restricting the sample space to females only.
• These probabilities are the same.
• The termgivenrefers to the sample space of all students, while the termandrefers to restricting the sample space to females only.
• This is by chance. These probabilities are typically the same.

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