HomeworkLib
Question

A selective college would like to have an entering class of 1000 students. Because not all...

A selective college would like to have an entering class of 1000 students. Because not all students who are offered admission accept, the college admits more than 1000 students. Past experience shows that about 83% of the students admitted will accept. The college decides to admit 1200 students. Assuming that students make their decisions independently, the number who accept has the B(1200, 0.83) distribution. If this number is less than 1000, the college will admit students from its waiting list.

a. What are the mean μ and the standard deviation σ of the number X of students who accept? (Round your standard deviation to four decimal places.)

b. Use the normal approximation to find the probability that at least 810 students accept. (Round your answer to four decimal places.)

c. The college does not want more than 1000 students. What is the probability that more than 1000 will accept? (Round your answer to four decimal places.)

d. If the college decides to decrease the number of admission offers to 1,130, what is the probability that more than 1000 will accept? (Round your answer to four decimal places.)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
A selective college would like to have an entering class of 1000 students. Because not all...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • (5.20) A selective college would like to have an entering class of 1200 students. Because not...

    (5.20) A selective college would like to have an entering class of 1200 students. Because not all students who are o↵ered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students admitted will accept. The college decides to admit 1500 students. Assuming that students make their decisions independently, the number who accept has the B(1500, 0.7) distribution. If this number is less than 1200, the college will admit students from the waiting...

  • A selective college would like to have an entering class of 1200. Because not all students...

    A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is...

  • In a recent​ study, it was found that 59​% of college students have pulled an all...

    In a recent​ study, it was found that 59​% of college students have pulled an all nighter at least once in the past year to complete work for their courses. We believe that this follows a binomial distribution. Complete parts ​(a) through ​(e) below based on a random sample of 12 college students ​a) What is the probability that exactly 6 of the college students pulled an all​ nighter? The probability is ​(Round to four decimal​ places.) ​b) What is...

  • High school seniors with strong academic records apply to the nation's most selective colleges in greater...

    High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2,851 applications for early admission. Of this group, it admitted 1,030 students early, rejected 857 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18%...

  • A college research group reported that 46% of college students aged 18-24 would spend their spring breaks relaxing at h...

    A college research group reported that 46% of college students aged 18-24 would spend their spring breaks relaxing at home Complete parts a through d below 2009. A sample of 150 college students was selected. a. Calculate the standard error of the proportion. (Round to four decimal places as needed.) b. What is the probability that less than 40% of the college students from the sample spent their spring breaks relaxing at home? P(Less than 40% of the college students...

  • Almost all medical schools in the United States require students to take the Medical College Admission...

    Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.8. Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 500. In...

  • Almost all medical schools in the United States require students to take the Medical College Admission...

    Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score u of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.8. Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 495. In...

  • Almost all medical schools in the United States require students to take the Medical College Admission...

    Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score y of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.8. Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 500. In...

  • Almost all medical schools in the United States require students to take the Medical College Admission...

    Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score μμ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.810.8 . Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 495495...

  • A small liberal arts college receives applications for admission from 1000 high school seniors. The college...

    A small liberal arts college receives applications for admission from 1000 high school seniors. The college has dormitory space for a freshman class of 100 students and will have to arrange for off-campus housing for any additional freshman. In previous years, an average of 60 percent of students that the college has accepted have elected to attend another school. Clearly the college should accept more than 100 students, but its administration does not want to take too big a chance...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT