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Normal Distribution

Any ideas on this question? It's from a normal distribution sheet but I don't see how it'd work.

In a town, 54% of the residents are female and 46% are male. A random sample of 200 residents is chosen from the town. Using a suitable approximation, find the probability that more than half the sample are female.
this question reinforces binary stereotypes :emo:

ermm although the underlying distribution is binomial we need to use a Normal Approximation;

X~N( np, npq )

where n = 200, p = 0.54, q = 0.46

don't forget to apply a continuity correction.
Binomial distribution falls down on big parameters so you will need to approximate it with a normal distribution. Watch examsolutions for a video example on how it works
this may help

[video="youtube;k9nRcadQYsU"]https://www.youtube.com/watch?v=k9nRcadQYsU[/video]

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