Suppose that the scores on a high school state standardized test are normally distributed with a x = 65 and a standard deviation of 8. (Need the distributions shown)

a) If one high school student is chosen at random, what is the probability that the students score is less than 81 points on this test?

State the Z value :

Statement:

b) If 400 high school students took reading ability test how many would expect to earn score less than 81 points?

Answer:

c) Find the probability of randomly selecting 35 students (all from the same school) that have a sample mean reading ability test score between 66 and 68.

State the Z value:

Statement: