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

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) (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
RELATED QUESTIONS
SEVEN HOUSES IN A ROW ARE TO BE PAINTED WITH ONE OF THE COLORS RED, BLUE, GREEN OR... (answered by sudhanshu_kmr)

In a town, 80% of the houses have water and 34% of the houses have no electricity. A... (answered by Boreal,ikleyn)

According to a local survey, the ratio of houses with aluminum siding to houses with... (answered by josgarithmetic)

9 houses are built on a circular road. Each house is painted red, white, or blue with a... (answered by stanbon)

In the past, the value of houses a local realtor has sold is normally distributed with a... (answered by ikleyn)

A town has 1418 houses. The number of houses increases by five percent the first year and (answered by ben720)

There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. (answered by rfer)

There are 75 new houses being built in a neighborhood. Last month, 1/5of them were sold.... (answered by stanbon)