SOLUTION: Hey can you help me solve this please. Consider the probability that no less than 99 out of 160 students will graduate on time. Assume the probability that a given student will gra

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Question 1180502: Hey can you help me solve this please. Consider the probability that no less than 99 out of 160 students will graduate on time. Assume the probability that a given student will graduate on time is 57%. Approximate the probability using the normal distribution
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
np is 160*0.57=91.2, That is mean
np(l-p)=91.2*0.43=39.216 That is variance
sort(39.216)=6.26. That is sd
z for 99 is (99-91.2)/6.26. The continuity correction factor is not applied here, since the first number must be at least 99.
=1.246
probability z > 1.246 is 0.1064