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HW 9 AU 2011 soln

# HW 9 AU 2011 soln - Stat 133 HW 9(10 pts Name Group Please...

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Stat 133 HW 9 (10 pts) Name___________________ Group # _____ Please read and follow the information in the “Homework Policies” document posted in the Homework section of Carmen. It is your responsibility to know and follow the policies. Hand drawn/written work is fine as long as it is legible. Please don’t add extra space in the document. Suppose prices (X) of a certain type of stock have a normal distribution with mean 100 dollars and standard deviation 30 dollars. DRAW PICTURES AN SHOW ALL WORK FOR CREDIT. INCLUDE UNITS~ 1. ______100 dollar________ is the median of these stock prices. Normal distribution is symmetric mean=median 2. ______62.93________% of the stock prices are above \$90. P(X>90)=P(Z>(90-100)/30)=1-P(Z<-0.33)=1-0.3707=0.6293 3. 25% of the stock prices are below _____79.9 dollar __________. P(X<??)=0.25 Z=-0.67 So X=Z*σ+u=-0.67*30+100=79.9 dollar 4. The cutoff point for the highest 10% of the stock prices is 138.4 dollar _____________. The highest 10% means we want 90

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HW 9 AU 2011 soln - Stat 133 HW 9(10 pts Name Group Please...

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