# statistics

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About 24% of all homes purchased on 2004 were considered investment properties. a random sample of 800 homes sold in 2004 is obtained. What is the probability that at most 200 homes are used as an investment property?

• statistics -

Mean = np = 800 * .24 = ?

Standard deviation = √npq = √(800)(.24)(.76) = ?

Note: q = 1 - p

Use z-scores:

z = (x - mean)/sd

x = 200

Use a z-table to determine the probability. Remember the question is asking "at most 200" when looking at the table.

I'll let you finish the calculations.

• statistics -

I get either 0.9099, 0.9103, or 0.9106

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