1. Using the given Normal Distribution Curve and assuming that the scores for the course in Math 114 are normally distributed with a mean of 75 and a standard deviation of 10 answer the following questions.
   1. What percentage of students above 75?
   2. What percentage of students below 75?
   3. What percentage of students scored between 65 and 85?
   4. What percentage of students scored between 55 and 95?
   5. If 65 is passing, what percentage of students passed the exam?
   6. If the top 15% of students get A's, what is the cut-off score for an A?
2. What percentage of area lies under the normal distribution curves lies:
   1. to the left of u
   2. between u-o and u+o
   3. between u-3o and u+3 o
3. Incomes in a certain town are strongly right-skewed with mean $36,000 and standard deviation $7000. A random sample of 75 households is taken
   1. What is the standard deviation of the sample mean?
   2. What is the probability that the sample mean is greater then $37,000?