Question

In: Statistics and Probability

It is estimated that 30% of university students are taking five or more classes this semester...

It is estimated that 30% of university students are taking five or more classes this semester (let us call them full-load students). Among the full-load students, 20% are working part-time. On the other hand, among the non-full-load students, 60% are working part-time.

a) When a university student is randomly selected, what is the probability that one is a full-load student and working part-time? [2]

Define event A as: university students taking five or more classes (or being full-load students).

Define event B as: university students working part-time.

b) When a university student is randomly selected, what is the probability that one is working part-time but not taking full-load? [2]

Solutions

Expert Solution

It is estimated that 30% of the students are taking five or more classes this semester. They are full load students.

Among the full load students, 20% are working part time.

On the other hand, among the non full load students, 60% are working part time.

Now, let us define

A=University student being full load student.

B=University student working part time.

The information given is

Question (a)

We have to find the probability that a randomly selected student is a full load student and works part time.

So, basically we have to find

By the definition of conditional probability,

this is equal to

So, the answer is 0.06.

Question (b)

We have to find the probability that a randomly selected student is working part time but not taking full load.

So, basically we have to find

By the definition of conditional probability, this becomes

The answer is 0.42.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In university classes 32 or less, university students have 50 or more When compared with the...

In university classes 32 or less, university students have 50 or more When compared with the classes, it is claimed that they liked more and got higher grades. In order to test this claim, the university administration is responsible for the same lesson, both 32 people small and 50 people large. He gave a teacher to give to a class. Same to students in both classes at the end of the semester final exam has been applied. The average score...

A sample of 300 students of undergraduate and 300 students of postgraduate classes of a university...

A sample of 300 students of undergraduate and 300 students of postgraduate classes of a university were asked to give their opinion towards autonomous colleges. 190 of the undergraduate and 210 of the postgraduate students favoured the autonomous status. i) At 5% significance level, would it be said that the opinions of the undergraduate and postgraduate students on autonomous colleges are independent? {The critical value of the requisite test statistic is 3.84} ( ii) What is the implication / interpretation...

Five students take statistics one semester and college algebra the next semester. Their overall course grades...

Five students take statistics one semester and college algebra the next semester. Their overall course grades (%) are listed in the table. Student Statistics College Algebra 1 80.0% 85.5% 2 72.6% 71.0% 3 99.0% 93.2% 4 91.3% 93.0% 5 68.9% 74.8% a. Which statistical procedure, listed in the Assessment, would be most appropriate to test the claim "student overall course grades are the same in both courses"? Options are: t-Test: Paired Two Sample for Means t-Test: Two-Sample Assuming Equal Variances...

During the registration at the State University every semester, students in the college of business must...

During the registration at the State University every semester, students in the college of business must have their courses approved by the college adviser. It takes the adviser an average of 2 minutes to approve each schedule, and students arrive at the adviser’s office at the rate of 28 per hour. Question 6: How long does a student spend waiting on average for the adviser? A. 13 minutes B. 14 minutes C. 30 minutes D. 28 minutes E. none of...

A university planner is interested in determining the percentage of spring semester students who will attend...

A university planner is interested in determining the percentage of spring semester students who will attend summer school. She takes a pilot sample of 160 spring semester students discovering that 56 will return to summer school. Construct a 90% confidence interval estimate for the percentage of spring semester students who will return to summer school. Construct a 95% confidence interval estimate for the percentage of spring semester students who will return to summer school.

The final grades in business mathematics of 60 students at University of Maryland last semester are...

The final grades in business mathematics of 60 students at University of Maryland last semester are recorded below. Use the information provided below to answer the questions that follows. 68 54 75 82 68 62 76 73 79 73 60 71 59 75 60 61 65 75 77 66 78 63 78 66 78 75 77 69 74 68 78 61 75 64 79 83 71 79 68 67 78 76 65 71 73 65 73 57 78 62 76...

How are your grades? In a recent semester at a local university, 300 students enrolled in...

How are your grades? In a recent semester at a local university, 300 students enrolled in both Statistics I and Psychology I. Of these students, 83 got an A in statistics, 75 got an A in psychology, and 49 got an A in both statistics and psychology. Round the answers to four decimal places, as needed. A) Find the probability that a randomly chosen student got an A in statistics or psychology or both. B) Find the probability that a...

a) A university planner wants to determine the proportion of spring semester students who will attend...

a) A university planner wants to determine the proportion of spring semester students who will attend summer school. She surveys 40 current students discovering that 15 will return for summer school.At 90% confidence, compute the margin of error for the estimation of this proportion. b) A university planner wants to determine the proportion of spring semester students who will attend summer school. She surveys 36 current students discovering that 16 will return for summer school.At 90% confidence, compute the lower...

The introductory biology class at a large university is taught to hundreds of students each semester....

The introductory biology class at a large university is taught to hundreds of students each semester. For planning purposes, the instructor wants to find out the average amount of time that students would use to take the first quiz if they could have as long as necessary to take it. She takes a random sample of 100 students from this population and finds that their average time for taking the quiz is 20 minutes, and the standard deviation is 10...

Do students in early morning classes do more poorly than students in later classes? During one...

Do students in early morning classes do more poorly than students in later classes? During one semester of Quan 2010, exam scores were averaged for one section of 28 students who met at 8:00am, and for another section of 37 students who met at 10:50am. The earlier section had a mean score of 80.6 with a variance of 103, while the later section had a mean score of 81.5 with a variance of 138. At a significance level of...

Subjects