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 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.These probabilities are the same. 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.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related 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, 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, 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...

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...

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.)

A group of deaf college students (approximately 10 male and female students, aged 19-23 years) has...

A group of deaf college students (approximately 10 male and female students, aged 19-23 years) has requested a speaker on birth control. You have been given the assignment. With your new found knowledge of people who are hearing impaired or deaf,describe the steps you would take to plan for this presentation. Be as specific as you can in answering this question. Construct three learning objective, and then select three or more appropriate presentation/health communication/instruction method related to contraception education that...

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

Subjects