SOLUTION: The local Homeowners Association determined that 53% of the houses in a random town were painted white. If 2,000 houses are selected from this town a random, what is the probabilit

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Question 1134025: The local Homeowners Association determined that 53% of the houses in a random town were painted white. If 2,000 houses are selected from this town a random, what is the probability that less than half of the houses would be painted white?
Answer by Glaviolette(140) About Me  (Show Source):
You can put this solution on YOUR website!
I used a normal distribution to determine the probability.
z = (0.50 - 0.53)/sq rt (.53*.47/2000)
The 0.50 is representing the less than half that we want painted. .53 is the percent of homes that were painted white. .47 is the q value, or percent that are not painted white.
z = -2.68
From a z-table area = .0037
P(p < 50%) = .0037