Question

1. The amount of financial aid awarded by a university to a student applicant is thought to be a normally distributed random variable with a mean of $10,000 and a standard deviation of $3,500. Find the following probabilities:
2. the probability that exactly $12,000 is awarded to a student applicant
3. the probability that more than $11,000 is awarded to a student applicant  
4. the probability that fewer than $13,000 is awarded to a student applicant
5. the probability that at least $8,500 is awarded to a student applicant
6. the probability that at most $9,000 is awarded to a student applicant
7. the probability that between $10,000 and $13,500 is awarded to a student applicant
8. the probability that between $5,500 and $10,000 is awarded to a student applicant
9. the probability that between $6,000 and $9,500 is awarded to a student applicant
10. the probability that between $14,000 and $17,500 is awarded to a student applicant
11. the probability that between $7,500 and $10,500 is awarded to a student applicant

Answer 1