One more I can't get

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A real estate agent lets the selling price for homes of a particular size in a particular neighborhood be given by X.  She then notes that X~N(175,15), where the units are in thousands of dollars.

What is the 29th percentile for the selling price for homes of this type (in thousands of dollars)?  Round to TWO decimal places.
Jul 3rd, 2015

Thank you for the opportunity to help you with your question!

Use a TI calculator to get 

invNorm(0.29) = -0.5534 

So z = -0.5534. Use this to find the raw score x 

z = (x-mu)/sigma
-0.5534 = (x - 175)/15
-0.5534*15 = x - 175
-8.301 = x - 175
-8.301 + 175 = x 
166.699 = x
x = 166.699
x = 166.70 

The 29th percentile for the selling price (in thousands of dollars) is 166.70

Please let me know if you nea case for torture by michale levined any clarification. I'm always happy to answer your questions.
Jul 3rd, 2015

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