A random variable Y has a Weibull distribution with parameters α = 4 and β = 7.865.  Look at a graph of this Weibull distribution using the excel spreadsheet.  It looks somewhat bell-shaped.  Note the mean and standard deviation provided to the left of the graph.

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A random variable Y has a Weibull distribution with parameters α = 4 and β = 7.865.  Look at a graph of this Weibull distribution using the excel spreadsheet.  It looks somewhat bell-shaped.  Note the mean and standard deviation provided to the left of the graph. 

 

Now, suppose we wished to use the normal curve to approximate P( 5.2 < Y < 9.1 ).  Using a normal curve with the same mean and standard deviation as Y, find the area between 5.2 and 9.1.

Express your answer as a proportion rounded to 4 decimal places.

A random variable Y has a Weibull distribution with parameters a = 4 and ß = 7.865. Look at a graph of this
Weibull distribution using the excel spreadsheet. It looks somewhat bell-shaped. Note the mean and standard
deviation provided to the left of the graph.
Now, suppose we wished to use the normal curve to approximate P( 5.2 < Y < 9.1 ). Using a normal curve with the
same mean and standard deviation as Y, find the area between 5.2 and 9.1.
Express your answer as a proportion rounded to 4 decimal places.
Transcribed Image Text:A random variable Y has a Weibull distribution with parameters a = 4 and ß = 7.865. Look at a graph of this Weibull distribution using the excel spreadsheet. It looks somewhat bell-shaped. Note the mean and standard deviation provided to the left of the graph. Now, suppose we wished to use the normal curve to approximate P( 5.2 < Y < 9.1 ). Using a normal curve with the same mean and standard deviation as Y, find the area between 5.2 and 9.1. Express your answer as a proportion rounded to 4 decimal places.
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