111sp07_midterm2versionB

# 111sp07_midterm2versionB - 550.111 Statistical Analysis I...

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550.111 Statistical Analysis I - Spring 2007 Midterm #2 version B Name 1. Suppose Y is a Poisson random variable with parameter λ = 2 . 56. (a) [5 pt] Write down the formula for P ( Y = x ), and please be sure to mention the values x for which the formula is valid. (b) [4 pt] Determine the mean μ and standard deviation σ of Y . Please write down the formula you used, and clearly label your answers. (c) [6 pt] Compute P ( μ - 2 σ < Y μ - σ ). You may wish to draw a picture of the situation. 2. A random sample of size 100 from a population where we only know the mean μ to be 145 and the standard deviation σ to be 28. (a) [5 pt] Compute the mean and standard deviation of the sample mean X 100 . Please write out the formulas you use, and clearly label your answers. (b) [5 pt] Find a value c so that P ( X 100 < c ) = . 8413.

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3. A building contractor buys 500 components for a development of 500 single family homes (one component per home). Each of these components operates independently. The components
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## This note was uploaded on 03/19/2010 for the course EOE 342 taught by Professor Jooe during the Spring '10 term at Albany College of Pharmacy and Health Sciences.

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111sp07_midterm2versionB - 550.111 Statistical Analysis I...

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