The mean rent of a 3-bedroom apartment in orlando is $1250. you randomly select 13 apartments around town. the rents are normally distributed with a standard deviation of $290. what is the probability that the mean rent is more than $1200? choose one:
a. 0.2676
b. 0.7324
c. 0.2709
d. 0.7291

B. 0.7324

Step-by-step explanation:

Population mean (μ) = $1250

Sample size (n) = 13

Sample standard deviation = $290

Assuming a normal distribution, the z-score for any given cost of rent, X, is defined as:

For X= $1200

A z-score of -0.62 corresponds to the  26.76-th percentile of a normal distribution. Therefore, the probability that the mean rent is more than $1200 is:

The answer is B. 0.7324

linear pair postulates