# Statistics

posted by .

2. In a given year the Murphy College admissions office accepts applications from students, who are then either accepted or not-accepted. Accepted students may or may not decide to attend Murphy College. Suppose the scores on a certain entrance exam for applicants of Murphy College follow the normal distribution with mean 1600 and standard deviation 300.

a. What is the probability that a given applicant has a score of more than 2050?
b. What is the probability that a given applicant has a score of between 1450 and 1900?
c. Suppose that top scoring applicants are award merit scholarship money based on their scores. Suppose that any student scoring above 1900 is awarded \$20,000 in scholarship money. If 1000 students apply to Murphy College in a given year, how much money does the college award in total?
d. How would Murphy College calculate the expected amount (in \$) of merit scholarships dispersed in a given year?

• Statistics -

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.

## Similar Questions

1. ### College Application

I am filling out a college application to a university in ohio that has a few thousand students enrolled. On the application there is a page for optional information like family, ethnicity, gender, etc. There is also an optional essay …
2. ### Stats Anyone?

The first-year retention rate is the percentage of entering freshman at a given college who return to that same college for their sophomore year. Many colleges use the first-year retention rate as one measure of their quality. Suppose …
3. ### stats help!

thank you in advance! in a given year the college admissions office accepts applicants from students, who are then either accepted or not accepted. accepted students may or may not decide to attend college. suppose the scores on a …
4. ### finance

You have chosen biology as your college major because you would like to be a medical doctor. However, you find that the probability of being accepted to medical school is about 6 percent. If you are accepted to medical school, then …
5. ### Math

at a large state university, 60% of the students who apply are accepted. Of those who are accepted, 40% actually enroll. If 20,000 students apply, how many actually enroll?
6. ### college statistics

the math SAT scores for all students who applied to the school of engineering are normally distributed with M=629 and standard deviation of 60. the school of engineering has decided to accept those students whose scores fall in the …
7. ### Statistics

The average SAT score for the 300 students accepted at Tiny College this year is 1,050 with a standard deviation of 275. If a random sample of 40 students is selected from this class, what is the probability that the average SAT score …
8. ### Statistics

The average mark on an entrance exam was 70%, with a standard deviation of 9.6. In order to be accepted you must get 60% or better. If 800 students wrote the exam how many were accepted?
9. ### Statistics

The probability that Samantha will be accepted by the college of her choice and obtain a scholarship is 0.35. If the probability that she is accepted by the college is 0.65, find the probability that she will obtain a scholarship given …
10. ### math

The probability that Jeff will be accepted to Green Valley College is 3/4, and the probability that Justin will be accepted to Blue Ridge College is 2/5. What is the probability that Justin will be accepted and Jeff will not?

More Similar Questions