A survey was conducted by the market research department of the National Real Estate Company among 500 prospective buyers in a large metropolitan area to determine the maximum price a prospective buyer would be willing to pay for a house. From the data collected, the distribution that follows was obtained. Compute the standard deviation of the maximum price (in thousands of dollars) that these buyers were willing to pay for a house. Round the answer to the nearest integer. Maximum Price Considered, x 150 160 170 180 190 220 250 270 320 Oo=$1,783, 240,000 O σ= $42,163 Oσ= $42, 228 Oσ=$212, 600 O = $46,711 P(X=x) 10 500 25 500 70 500 80 500 70 500 85 500 85 500 55 500
A survey was conducted by the market research department of the National Real Estate Company among 500 prospective buyers in a large metropolitan area to determine the maximum price a prospective buyer would be willing to pay for a house. From the data collected, the distribution that follows was obtained. Compute the standard deviation of the maximum price (in thousands of dollars) that these buyers were willing to pay for a house. Round the answer to the nearest integer. Maximum Price Considered, x 150 160 170 180 190 220 250 270 320 Oo=$1,783, 240,000 O σ= $42,163 Oσ= $42, 228 Oσ=$212, 600 O = $46,711 P(X=x) 10 500 25 500 70 500 80 500 70 500 85 500 85 500 55 500
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:A survey was conducted by the market research department of the National Real Estate Company among 500 prospective buyers in a large metropolitan area to determine the maximum price a prospective buyer would be willing to pay for a house. From the data collected, the distribution that follows was obtained.
Compute the standard deviation of the maximum price (in thousands of dollars) that these buyers were willing to pay for a house. Round the answer to the nearest integer.
### Table of Maximum Price Considered
| Maximum Price Considered, \( x \) | \( P(X = x) \) |
|------------------------------------|------------------|
| 150 | \(\frac{10}{500}\) |
| 160 | \(\frac{25}{500}\) |
| 170 | \(\frac{70}{500}\) |
| 180 | \(\frac{80}{500}\) |
| 190 | \(\frac{70}{500}\) |
| 220 | \(\frac{85}{500}\) |
| 250 | \(\frac{85}{500}\) |
| 270 | \(\frac{35}{500}\) |
| 320 | \(\frac{20}{500}\) |
### Options for Standard Deviation
- \( \sigma = \$1,783,240,000 \)
- \( \sigma = \$42,163 \)
- \( \sigma = \$42,228 \)
- \( \sigma = \$12,600 \)
- \( \sigma = \$46,711 \)
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