ME345_Lecture_05

ME345_Lecture_05 - M E 345 Spring 2008 Professor John M....

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 05 01/25/2008 Today, we will : Review the pdf module: The Gaussian or Normal Probability Density Function Do some example problems – Gaussian PDFs and probability estimates If time, review the pdf module: Central Limit Theorem Do C a n d y Q u e s t i o n s f o r C a n d y F r i d a y Example Given : Many voltage readings are taken from a power supply. The sample mean voltage reading is 10 12 V E . = The sample standard deviation of all the readings is 0.022 V We assume that the errors in the readings are purely random To do : Write the voltage to 95% confidence level. Solution :
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Example Given : 100 velocity measurements are taken in a wind tunnel. The sample mean velocity is 5126m/s V. = The sample standard deviation of all the readings is 0.0690 m/s We assume that the errors in the readings are purely random ( a ) To do : Calculate the probability that the velocity of a random measurement is in the range 5.126 m/s < V < 5.200 m/s. In other words, calculate P (5.126 < V < 5.200).
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ME345_Lecture_05 - M E 345 Spring 2008 Professor John M....

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