Question

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
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?

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. 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.

Answer #1

Ans:

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

**=0.6**

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

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

=0.6*0.88

**=0.528**

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

**=0.9**

(d) *P*(student will graduate *and* student is
male)

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

=0.9*0.12

**=0.108**

d)

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, 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
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degree. If an incoming freshman nursing student is selected at
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At Litchfield College of Nursing, 83% of incoming freshmen
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At Litchfield College of Nursing, 85% of incoming freshmen
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indicate that 70% of the entering female students will graduate
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degree. If an incoming freshman nursing student is selected at
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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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