Please answer all the question using the information below. I need the answer for today please.

For Problems #1 through #9, consider the following context:According to recent published reports, approximately 10% of American registered nurses are men. A major medical center that recruits nationally and has an employee pool that reflects the current national demographic trends within the profession has 400 registered nurses on staff full-time. Let the random variable,x, represent the number of full-time male registered nurses found in this population at this major medical center. [COMMENTS & HINTS: Whatdiscrete probability distributionbest describes this context? Express all probabilities in decimal form, rounded to four decimal places:#.####]

QUESTION 1

#1: What is the expected number (i.e.,population mean) number of full-time male nurses anticipated from a population of this size?

QUESTION 2

#2: What is the population standard deviation?

QUESTION 3

#3: What is the population variance?

QUESTION 4

#4: What is the likelihood thatexactly36full-time registered nurses will be male?

QUESTION 5

#5: What is the chance that the number of full-time male registered nurses isnot46?

QUESTION 6

#6: What is the probability that the number of full-time male registered nurses iseither44or45?

QUESTION 7

#7: What is the chance that the number of full-time male registered nurses isno more than40?

QUESTION 8

#8: What is the likelihood that the number of full-time male registered nurses isat least38but no more than42?

QUESTION 9

#9: What is the chance the number of full-time male registered nurses isat least51?