Question
In: Statistics and Probability
Based on the model N(1154,85) describing steerweights,what are the cutoff values for a)the highest10%of theweights? b)the...
Based on the model
N(1154,85)
describing steerweights,what are the cutoff values for
a)the highest10%of theweights?
b)the lowest20%of theweights?
c)the middle40%of theweights?
Solutions
Expert Solution
X ~ N(1154,85)
a)the highest10%of theweights?
P[ X < x_10 ] = 100 - 10 = 90%
The z score P[ Z < 1.645 ] = 0.9
b)the lowest20%of theweights?
P[ X < x_20 ] = 20%
The z score P[ Z < -0.84 ] = 0.2
c)the middle40%of theweights?
P[ x_l < X < x_u ] =40%= 0.4
Now, P[ -0.52 < Z < 0.52 ] = 0.4
orchestra answered 1 year agoRelated Solutions
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