MIG.ARPDM.5.2

Calculate, analyze and interpret theoretical and empirical probabilities using standardized and non-standardized data.

Example Problems
The delivery time (in days) for a regional courier is normally distributed with a mean of and a standard deviation of . Let = the delivery time for a randomly selected package.

Find
.
Round your answer to
two decimal places.
Scores on a standardized math test are normally distributed with a mean of 500 and a standard deviation of 100. Let X represent the score of a randomly selected student.

Find
.
Round your answer to
two decimal places.
Monthly apartment rents in a city are normally distributed with a mean of and a standard deviation of . A studio costs .

What
proportion of monthly rents are higher than the studio's rent?
Round your answer to four decimal places.
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