Math question regarding probability, my answers included?

Question

I did the below problem but my AP Stats teacher told me I did them wrong. I have no idea how to do them correctly so I get the right answer. Can you please help me?

4. In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students what is the probability that more than half are women? 
Let the random variable X = number of women in the sample.
Assume X has the binomial distribution with n = 50 and p = 0.4.

b. Calculate the exact binomial probability
(I got .0405)

d. Recalculate the probability in part b using a normal approximation without the continuity correction. 
(I got .0559)

e. Recalculate the probability in part b using a normal approximation with the continuity correction. 
(I got .0634)

I really need help with this, please explain how to get the right answer.

jude · Accepted Answer

solution:
n=X x p
50=X x.06
x=30= the probability that more than a half are women.

? · Answer

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Math question regarding probability, my answers included?

2 Answers