Suppose that a test scores are normally distributed in a certain population with a mean of 55 and a

standard deviation of 10.

a) What proportion of people have scores less than 65?

b) What proportion of people have scores between 35 and 70?

c) How many of 1000 students who take the test should have scores between 37 and 70?

d) If someone has a score of 75, what percentile is he/she in?

Show your work and include the curve diagram