# This is the continuous type distribution version of

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Unformatted text preview: .5 = σ 537.26. Thus, K = 537 or K = 538 should do. So, if the coin is ﬂipped a thousand times, there is about a one percent chance that heads shows for more than 53.7% of the ﬂips. (b) By the same reasoning, we should take K ≈ µ + 2.325σ + 0.5, where, for n = 106 , µ = 500000 √ and σ = 250, 000 = 500. Thus, K = 501163 should do. So, if the coin is ﬂipped a million times, there is about a one percent chance that heads shows for more than 50.12% of the ﬂips. Example 3.6.9 Suppose a testing service is to administer a standardized test at a given location on a certain test date, and only students who have preregistered can take the test. Suppose 60 students preregistered, and each of those students actually shows up to take the test with probability p = 5/6. Let X denote the number of preregistered students showing up to take the test. (a) Using the Gaussian approximation with the continuity correction, ﬁnd the approximate numerical value of P {X ≤ 52}. (b) Similarly, ﬁ...
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## This note was uploaded on 02/09/2014 for the course ISYE 2027 taught by Professor Zahrn during the Spring '08 term at Georgia Institute of Technology.

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