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A Statistical Challenge

A Binomial Distribution with Normal Distribution Approximation

Question:

Let Y be b(n, 0.55). Find the smallest value of n which is such that (approximately)

P(Y/n > 1/2) is greater than or equal to 0.95

*The full solution with explanations is attached in the image below for your kind consideration.

IMG_20160407_232658NormalDistributionTable1

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