Question

At Litchfield College of Nursing, 85% of incoming freshmen nursing students are female and 15% are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 90% of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find the following probabilities. (Enter your answers to three decimal places.)

(a) *P*(student will graduate | student is female)

(b) *P*(student will graduate *and* student is
female)

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

(d) *P*(student will graduate *and* student 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 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 term *given* refers to the sample space of all
students, while the term *and* refers to restricting the
sample space to females only.This is by chance. These probabilities
are typically the same. These probabilities
are the same.The term *and* refers to the sample space of
all students, while the term *given* refers to restricting
the sample space to females only.

Answer #1

At Litchfield College of Nursing, 89% of incoming freshmen
nursing students are female and 11% are male. Recent records
indicate that 60% of the entering female students will graduate
with a BSN degree, while 80% of the male students will obtain a BSN
degree. If an incoming freshman nursing student is selected at
random, find the following probabilities. (Enter your answers to
three decimal places.)
(a) P(student will graduate | student is female)
(b) P(student will graduate and student is...

At Litchfield College of Nursing, 84% of incoming freshmen
nursing students are female and 16% are male. Recent records
indicate that 70% of the entering female students will graduate
with a BSN degree, while 80% of the male students will obtain a BSN
degree. If an incoming freshman nursing student is selected at
random, find the following probabilities. (Enter your answers to
three decimal places.)
(a) P(student will graduate | student is female)
(b) P(student will graduate and student is...

At Litchfield College of Nursing, 87% of incoming freshmen
nursing students are female and 13% are male. Recent records
indicate that 60% of the entering female students will graduate
with a BSN degree, while 80% of the male students will obtain a BSN
degree. If an incoming freshman nursing student is selected at
random, find the following probabilities. (Enter your answers to
three decimal places.) (a) P(student will graduate | student is
female) (b) P(student will graduate and student is...

At Litchfield College of Nursing, 89% of incoming freshmen
nursing students are female and 11% are male. Recent records
indicate that 70% of the entering female students will graduate
with a BSN degree, while 90% of the male students will obtain a BSN
degree. If an incoming freshman nursing student is selected at
random, find the following probabilities. (Enter your answers to
three decimal places.)
(a) P(student will graduate | student is female)
(b) P(student will graduate and student is...

At Litchfield College of Nursing, 89% of incoming freshmen
nursing students are female and 11% are male. Recent records
indicate that 70% of the entering female students will graduate
with a BSN degree, while 90% of the male students will obtain a BSN
degree. If an incoming freshman nursing student is selected at
random, find the following probabilities. (Enter your answers to
three decimal places.)
(a) P(student will graduate | student is female)
(b) P(student will graduate and student is...

At Litchfield College of Nursing, 88% of incoming freshmen
nursing students are female and 12% are male. Recent records
indicate that 60% of the entering female students will graduate
with a BSN degree, while 90% of the male students will obtain a BSN
degree. If an incoming freshman nursing student is selected at
random, find the following probabilities. (Enter your answers to
three decimal places.)
(a) P(student will graduate | student is female)
(b) P(student will graduate and student is...

At Litchfield College of Nursing, 83% of incoming freshmen
nursing students are female and 17% are male. Recent records
indicate that 70% of the entering female students will graduate
with a BSN degree, while 80% of the male students will obtain a BSN
degree. If an incoming freshman nursing student is selected at
random, find the following probabilities. (Enter your answers to
three decimal places.)
(a) P(student will graduate | student is female)
(b) P(student will graduate and student is...

Of students who graduate Grossmont College, 53% are female. At
Grossmont College, there are 49% males and the rest are females.
Also, 71% of the students at Grossmont College graduate.
1. What is the probability that a randomly selected student is
female and graduates?
2. What is the probability that a randomly selected student is
female?
3. What is the probability that a randomly selected student
graduates given they are female?

The table below shows the number of male and female students
enrolled in nursing at a particular university for a recent
semester.
(a) Find the probability that a randomly selected student is
male, given that the student is a nursing major.
(b) Find the probability that a randomly selected student is a
nursing major, given that the student is male.
Nursing Majors
Non-nursing majors
Total
Males
97
1102
1199
Females
704
1664
2368
Total
801
2766
3567

Do male college students spend more time than female college
students using a computer? This was one of the questions
investigated by the authors of an article. Each student in a random
sample of 46 male students at a university in England and each
student in a random sample of 38 female students from the same
university kept a diary of how he or she spent time over a
three-week period.
For the sample of males, the mean time spent...

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