Question

Bekah is looking to find a close condo to the university campus. She learns that the mean rent for a condo is \$1900, and the standard deviation is $200. The data found is normally distributed. About what percentage of the population has a rent price between $1700 and $2100

Answer 1

68.268%

Explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $1900

σ is the population standard deviation = $200

For x = $1700

z = $1700 - $1900/$200

z = -1

Probability value from Z-Table:

P(x= 1700) = 0.15866

For x = $2100

z = $2100 - $1900/$200

= 1

Probability value from Z-Table:

P(x = 2100) = 0.84134

The probabilty of the population that has a rent price between $1700 and $2100

P(x = 2100) - P(x = 1700)

0.84134 - 0.15866

= 0.68268

Converting to percentage

= 0.68268 × 100%

= 68.268%

The percentage of the population that has a rent price between $1700 and $2100 is 68.268%