HOMES-UPGRADED Use the Normal approximation to find the probability that there will be between 160 and 260(including both 160 and 260) homes in the group that are owned by the current residents. Group of answer choices 0.980 0.977 0.974 0.333
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According to the bureau of census, 68.0% of Americans owned their own homes in 2003. A local real estate office is curious as to whether a higher percentage of Americans own their own homes in its area. The office selects a random sample of 200 people in the area to estimate the percentage of those people that own their homes. (Hint: Normal model applies) What is the probability that less than 125 people will report owning their own home? What is the probability that greater than 140 people will report owning their own home?
James K.
Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000 feet squared) of 28 homes. $$\begin{array}{|c|c|c|c|c|c|c|}\hline 1.5 & {2.4} & {3.6} & {2.6} & {1.6} & {2.4} & {2.0} \\ \hline 3.5 & {2.5} & {1.8} & {2.4} & {2.5} & {3.5} & {4.0} \\ \hline 2.6 & {1.6} & {2.2} & {1.8} & {3.8} & {2.5} & {1.5} \\\hline {2.8}&{1.8} &{4.5}&{1.9} &{1.9}& {3.1}& {1.6}\\\hline\end{array}$$ $$\text{Table 5.4}$$ The sample mean $=2.50$ and the sample standard deviation $=0.8302.$ The distribution can be written as $X \sim U(1.5,4.5).$ What is $P(2 < x < 3) ?$
Continuous Random Variables
The Uniform Distribution
62% of all Americans are homeowners. If 44 Americans are randomly selected, find the probability that: - Exactly 27 of them are homeowners. - At most 29 of them are homeowners. - At least 27 of them are homeowners. - Between 23 and 28 (including 23 and 28) of them are homeowners. Round all answers to 4 decimal places.
Adi S.
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