Posted by **Sam** on Wednesday, January 12, 2011 at 11:20pm.

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?

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