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**Unformatted text preview: **Standard Normal Distribution CDF (Table Exercise) 7 8 5 9 Transforming (Standardizing) Normal RVs Idea: Transform a N( , 2 ) RV into a N(0, 1) RV. .. then: 10 6 Using the Transformation Say and we want to compute Idea: Transform to the standard normal distribution: 11 Using the Transformation: Example Say the reaction time for a person to respond to brake lights is normally distributed, with a mean reaction time of 1.25 sec and a standard deviation of 0.46 sec. What is the probability that the reaction time for a randomly selected person is between 1.00 sec and 1.75 sec? 12 7 13 Using the Transformation: Percentiles Again say X N(1.25, 2 = (0.46) 2 ). What is the 66 th percentile of X ? Compute 66 th percentile of standard normal distribution and then transform to get 66 th percentile for N(1.25, 2 = (0.46) 2 ) distribution. 14 8 Using the Transformation: Percentiles Again say X N(1.25, 2 = (0.46) 2 ). What is the 66 th percentile of X ? 15...

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