Question
In: Statistics and Probability
At Litchfield College of Nursing, 87% of incoming freshmen nursing students are female and 13% are...
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 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.
Solutions
orchestra answered 2 years agoRelated Solutions
At Litchfield College of Nursing, 87% of incoming freshmen nursing students are female and 13% are...
At Litchfield College of Nursing, 87% of incoming freshmen
nursing students are female and 13% 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, 87% of incoming freshmen nursing students are female and 13% are...
At Litchfield College of Nursing, 87% of incoming freshmen
nursing students are female and 13% 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, 87% of incoming freshmen nursing students are female and 13% are...
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, 84% of incoming freshmen nursing students are female and 16% are...
At Litchfield College of Nursing, 84% of incoming freshmen
nursing students are female and 16% 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, 81% of incoming freshmen nursing students are female and 19% are...
At Litchfield College of Nursing, 81% of incoming freshmen
nursing students are female and 19% 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...
In a nursing program, 85% of incoming freshmen nursing students are female while 15% are male. Recent...
In a nursing program, 85% of incoming freshmen nursing students
are female while 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.
Suppose an incoming freshman nursing student is chosen at
random. Use a tree diagram or probability formula to find the
following.
a. Find the probability the student is female and graduates with
a BSN degree.
b. Find the...
Several years ago, a study of college freshmen found that 29.2% of incoming freshmen characterized their...
Several years ago, a study of college freshmen found that
29.2% of incoming freshmen characterized their political views as
liberal, 46.6% as moderate, and 24.2% as conservative. For this
year, a random sample of 500 incoming college freshmen yielded the
following frequency distribution for political views. Complete
parts (a) and (b) below.
Liberal 145
Moderate 235
Conservative 120
A private college report contains these statistics: 75% of incoming freshmen attended public schools. 65% of...
A private college report contains these statistics:
75% of incoming freshmen attended public schools.
65% of public school students who enroll as freshmen eventually
graduate.
80% of other freshmen eventually graduate.
What percent of students who graduate from the college attended
a public high school?
___ % of students who graduate attended a public high
school.
(Round to two decimal places as needed.)
it has been reported that 20.4% of incoming freshmen indicate that they will major in business...
it has been reported that 20.4% of incoming freshmen indicate
that they will major in business or a related field a random sample
of 420 incoming college freshmen were asked their preference and 84
replied that they were considering business as a major estimate the
true proportion of freshmen business majors with 94% confidence
round intermediate calculations to three decimal places round final
answer to one
Do female college students tend to weigh more or less than male college students, on average?...
Do female college students tend to weigh more or less than male
college students, on average? Suppose that we use data from the
Student Data sheet to help us make a decision about this question.
We will assume that those who responded to the student data sheet
are representative of all college students and are a random sample.
Below are summary statistics from the student data sheet (rounded
to the nearest integer):
Sex?
N
Mean
St. Dev
Median
Minimum
Maximum...
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