Suppose 22% of students at a certain university are out of state students. A professor takes a random sample of 50 students. Let X = the number of out of state students in the sample. a. how many...

Suppose 22% of students at a certain university are out of state students. A professor takes a random sample of 50 students. Let X = the number of out of state students in the sample.

a. how many students are expected to be out of state? by how much does this vary?

b. what is the probability that 10 will be out of state?

c. what is the probability that 10 or fewer will be out of state?

d. what is the probability that fewer than 10 will be out of state?