Question

At Litchfield College of Nursing, 81% of incoming freshmen
nursing students are female and 19% 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?

This is by chance. These probabilities are typically 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. These probabilities are the same.The
term given refers to the sample space of all students, while the
term and refers to restricting the sample space to females
only

Answer #1

a)

P(student will graduate | student is female) =0.7

b)

P(student will graduate and student is female) =P(female)*P(student will graduate | student is female) =0.81*0.7=0.567

c)

P(student will graduate | student is male)=0.90

d)

P(student will graduate and student is male)=P(male)*P(student will graduate | student is male)=0.19*0.9=0.171

e)

P(student will graduate)=P(student will graduate and student is female) +P(student will graduate and student is male)

=0.567+0.171 =0.738

f)

The term and refers to the sample space of all students, while the term given refers to restricting the sample space to females only

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...

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...

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, 86% of incoming freshmen
nursing students are female and 14% 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, 86% of incoming freshmen
nursing students are female and 14% 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...

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