The National Center for Education Statistics reported that mean number of instructional computers

The National Center for Education Statistics reported that mean number of instructional computers per public School nationwide was 124. Assume that the standard deviation is 49 computers and that there is no information about the shape of the distribution. Suppose we take a sample of size 75 public schools, and suppose we are interested in the probability that the sample mean number of instructional comp[uters less than 100.

a. If possible. Find P( ) < 100). If not possible explain why not.

b. What is the probability that a sample of size 75 public schools will have more than a 100 instructional computers?