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stats help!

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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 certain entrance exam for applicants of murphy college follow the normal distribution with mean 1600 and standard deviation 300.
whats the probability that a given applicant has a score of more than 2050?
What is the probability that a given applicant has a score of between 1450 and 1900?
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?
How would college calculate the expected amount in $ of merit scholarships dispersed in a given year?

  • stats help! -

    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 those Z scores.

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