Statistics
posted by Sam on .
2. In a given year the Murphy College admissions office accepts applications from students, who are then either accepted or notaccepted. 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?

Z = (scoremean)/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.