Hi, can you confirm if my answers for questions 1) , 2) , and 3) are correct AND help me answer question 4), thank you! Please use formulas and detail, not software.

--------------------------------------

Suppose the teacher selects from a pool of students that is 30% male, and 70% female. Further suppose each student is independent, and these probabilities do not change over time.

1) What is the probability that out of 8 new people, they pick at least 2 male students?

My answer: 0.74

2) What is the probability that out of 8 new people, there are an equal number of men and women students?

My answer: 0.0185

3) How many male and female students should they expect to hire from 8 people? Formula n x p

My answer: Males = 2.4. Females = 5.6

4) What is the probability that out of 8 new people, the teacher picks less than the average number of expected male students?