The distribution of monthly rent for one-bedroom apartments in a city is approximately normal with mean $936 and standard deviation $61. A graduate student is looking for a one-bedroom apartment and wants to pay no more than $800 in monthly rent. Of the following, which is the best estimate of the percent of one-bedroom apartments in the city with a monthly rent of at most $800 ?.

Respuesta :

The best estimate of the percent of one-bedroom apartments in the city with a monthly rent of at most $800 is 1.3%.

A percentage is a number or ratio expressed as a fraction of 100. is often described. A percentage is a part of a whole expressed as a number between 0 and 100, not as a fraction. Everything is 100%, half of it is 50%, and nothing is 0%. To get a percentage, divide part of the whole by the whole and multiply by 100.

Mean = \mu = 936

standard\ deviation = \sigma =61

To find

P(X<800)=P(\frac{X-\mu }{\sigma }<\frac{800-936}{61})

P(X<800)=P(z<-2.2295)

P(X<800)=0.01289

0.01289\times 100 = 1.289\approx 1.3% percent.

Hence, option 4) is correct is the best estimate of the percent of one-bedroom apartments in the city with a monthly rent of at most $800.

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